Compound Inequalities

Key Questions

How do you solve compound inequalities?

The same way you would solve normal inequalities, only there are more sides to the inequality now. remember: what you do to one side you do it ALL sides

1. $- 3 \leq 2 x - 1 < 5$ $-3≤2x-1<5$

2. $- 3 + 1 \leq 2 x - 1 + 1 < 5 + 1$ $-3+1≤2x-1+1<5+1$

3. $- \frac{2}{2} \leq \frac{2 x}{2} < \frac{6}{2}$ $-2/2≤(2x)/2<6/2$

4. $- 1 \leq x < 3$ $-1≤x<3$

Firelight · 3 · Nov 4 2014

Questions

How do you solve compound inequalities?
What is an example of an inequality that uses "and" and what inequality uses "or"?
How do you graph $- 40 \leq y < 60$ $-40 \le y < 60$ on a number line?
How do you solve for x in $3 x - 5 < x + 9 \leq 5 x + 13$ $3x-5 < x + 9 \le 5x + 13$ ?
How do you solve $9 - 2 x \leq 3 or 3 x + 10 \leq 6 - x$ $9-2x \le 3 or 3x+10 \le 6-x$ ?
How do you solve for b given $6 + b < 8 or b + 6 \geq 6$ $6+b<8 or b+6 \ge 6$ ?
How do you graph $x \geq 4$ $x ≥ 4$ or $x > - 4$ $x > -4$ ?
How do you solve the compound inequality $- 20 \leq - 6 m - 2 \leq 58$ $-20≤-6m-2≤58$ and graph its solution?
How do you graph $- 53 < 9 v + 1 < - 26$ $-53<9v+1<-26$ ?
How do you graph this inequality: $15 < x < 30$ $15<x<30$ ?
How do you solve $x + 4 < 2$ $x + 4 < 2$ or $x - 4 > - 1$ $x - 4 > -1$ ?
How do you solve $- 4 \leq \frac{1}{3} x - 5 < - 2$ $-4 <= 1/3x-5<-2$ ?
How do you solve $- 3 < x - 3 < 0$ $-3<x-3<0$ ?
How do you solve $- 2 < 4 z + 10 \leq 12$ $-2 < 4z + 10 ≤ 12$ ?
How do you solve $S o l v e : \frac{1}{2} x - 3 \leq - \frac{1}{1.5} x - .5 \leq \frac{1}{2} x + 2$ $Solve: 1/2x - 3 <=-1/1.5x - .5 <=1/2x + 2$ ?
How do you solve compound inequalities $- 10 < - 2 + 8 x < 22$ $-10 < -2 + 8x < 22$ ?
How do you solve compound inequalities $4x + 7 < 11 or 1 – x ≤ -2$ ?
How do you solve compound inequalities $-2x + 1 > 3$ and $-2x + 1 < 9$ ?
How do you solve compound inequalities $-5k < -10$ or $3k > -9$ ?
How do you solve compound inequalities $p + 4 > 6$ and $3p < -18$ ?
How do you solve compound inequalities $8 - 4x < -3x + 5$ or $x + 8 > 4 + 3x$ ?
How do you solve compound inequalities $4x<16$ or $12x>144$ ?
How do you solve compound inequalities $3x>=3$ or $9x < 54$ ?
How do you solve compound inequalities $8x > -32$ or $-6x>=48$ ?
How do you solve compound inequalities $11< 3y +2 < 20$ ?
How do you solve compound inequalities $5a-4>16 or 3a + 2 <17$ ?
How do you solve compound inequalities $8d<-64$ and $5d > 25$ ?
How do you solve and graph the compound inequality $2 < x < 7$ and $2x > 10$ ?
How do you solve and graph the compound inequality $-4<4f+24<4$ ?
How do you solve and graph the compound inequality $2t + 1 > 13$ or $–18 > 7t + 3$ ?
How do you solve and graph the compound inequality $–5 + 2n ≥–11$ or $–6 – 10n > 44$ ?
How do you solve and graph the compound inequality $4 < n + 6 < 9$ ?
How do you solve and graph the compound inequality $3v-4<=-10$ or $4v+4<=-20$ ?
How do you solve and graph the compound inequality $3x < -9$ or $8x > -8$ ?
How do you solve and graph the compound inequality $7x<= -28$ or $2x > -2$ ?
How do you solve and graph the compound inequality $3x > 3$ or $5x < 2x - 3$ ?
How do you solve and graph the compound inequality $-2 < -3x + 7 < 4$ ?
How do you solve and graph the compound inequality $-16 < -3x + 8 < -7$ ?
How do you solve and graph the compound inequality $-9 < -2s - 1<=-7$ ?
How do you solve and graph the compound inequality $3>=4r - 5>= -1$ ?
How do you solve and graph the compound inequality $-2<=5 - x / 3<=2$ ?
How do you solve and graph the compound inequality $-2x - 5 <= -6$ and $-2x + 5 >=6$ ?
How do you solve and graph the compound inequality $3v+1≤19$ and $2v-3<-11$ ?
How do you solve and graph the compound inequality $4v-3<=-27$ and $-3v>=-3$ ?
How do you solve and graph the compound inequality $-1 < 2x + 5 < 13$ ?
How do you solve and graph the compound inequality $5> -2x +4$ or $10<=-4x +3$ ?
How do you solve and graph the compound inequality $5 > -4x+4$ or $8 <= -5x + 2$ ?
How do you solve and graph the compound inequality $7>-5x+6$ or $10<= -5x+3$ ?
How do you solve and graph the compound inequality $5 < 4x + 1 < 13$ ?
How do you solve and graph the compound inequality $x- 3 > 3$ and $-x + 1 < -2$ ?
How do you solve and graph the compound inequality $2x - 6 < -14$ or $2x + 3 < 1$ ?
How do you solve and graph the compound inequality $3x>=5$ or $-5/8x-6>1$ ?
How do you solve and graph the compound inequality $-3(x-7)<2$ or $-2x+1>5$ ?
How do you solve $-9 <= -3x+15 <= 12$ ?
How do you solve $7>1-2x<=10$ ?
How do you solve $x-5 < 7 - 2x <= 3$ ?
How do you solve $-8<=2x-4<6$ ?
How do you solve $3x-1<2$ or $-5x<-20$ ?
How do you solve $-1 <= 2x - 3 < 7$ ?
How do you solve $(x-2)(x+5) >0$ ?
How do you solve and graph $2x > -6$ and $x - 4 < 3$ ?
How do you solve and graph $-3x > -6$ or $x - 5 < 2$ ?
How do you solve and graph $x - 2 > 2x + 1$ or $10 > -2x + 2$ ?
How do you solve $-5<s+5<5$ ?
How do you solve and graph $4x<16$ or $8x>16$ ?
How do you solve and graph $x < 5$ or $x > -1$ ?
How do you solve and graph $2/5x<6$ and $-1/2x <= -10$ ?
How do you solve and graph $6<-2m<10$ ?
How do you solve and graph $-5 < (t + 15)/3 ≤ 9$ ?
How do you solve and graph $4<y+2<-3(y-2)+24$ ?
How do you solve and graph $-5 < 2x + 1 < 4$ ?
How do you solve and graph $-1<2b<8$ ?
How do you solve and graph $3w-5 < 13$ or $2w-3 ≤ 3$ ?
How do you solve and graph $−4 < 2x − 3 < 4$ ?
How do you solve x+1>-2 and x+1<6?
How do you solve 1<3x+4<10?
How do you solve x- 3 > 3 and -x + 1 < -2?
How do you solve 4p<-2 and 2+p>-5?
How do you solve 2x - 1 > 5 and 3x < - 6?
How do you solve 4x + 1 ≤ 17 and 5x - 1 > 19?
How do you solve $3x + 6 > 36$ and $3x + 6<=54$ ?
How do you solve 4 > -3x + 3 or 8 ≤ -2x + 5?
How do you solve $-4<=-3x - 7<5$ ?
How do you solve 4x ≥ -16 and x + 1 ≤ 0?
How do you solve -4x < -16 and x+ 4 > 5?
How do you solve 4x≤12 or -7x≥21?
How do you solve -5<s+5<5?
How do you solve -9 < 4x + 3 < 11?
How do you solve 3x+3<3 and $-8x+6>=0$ ?
How do you solve $6x-2<7$ or $8x-2>=3$ ?
What is the solution set for $-10 ≤ 3x - 5 ≤ -4$ ?
How do you solve $4 > 3x + 3 or 9 ≤ - 5x + 3$ ?
How do you solve $0.9x + 6 ≤ 1.3x - 3$ ?
How do you solve $2x-3<x+4<3x-2$ ?
How do you solve $-1/3 <=(4x-1)/3< 1/2$ ?
How do you solve $5x + 3 < -7$ or $-2x - 6 > -8$ ?
How describe a real life situation for the inequality $-2<x<8$ ?
How do you solve compound Inequality $2/5x<6$ and $-1/2x <= -10$ ?
How do you solve compound Inequality $x+2>7$ or $7-x>13$ ?
Which represents the compound inequality x > - 2 and x < 4 using interval notation?
How do you solve and graph the compound inequality $x + 1 > 0$ and $x + 3 < 8$ ?
How do you solve and graph the compound inequality $-2< 2 x - 4 < 6$ ?
How do you solve and graph the compound inequality $3x-1<8$ or $5x-5>25$ ?
How do you solve and graph the compound inequality $3x + 8 < 2$ or $x + 12 > 2 - x$ ?
How do you solve and graph the compound inequality $4 < a + 2 < 10$ ?
How do you solve and graph the compound inequality $x-4<1$ and $4x>5$ ?
How do you solve and graph the compound inequality $2x+5<=11$ and $4(x-1)+12>=0$ ?
How do you solve and graph the compound inequality $5-2x > -3$ or $3(6-x) < 2(x-6)$ ?
How do you solve and graph the compound inequality $3x>4-x$ or $2(x+3)>5x-3$ ?
How do you solve and graph the compound inequality $-5<s+5<5$ ?
What is the solution set for $4x^2 - 5x < 6$ ?
What is the solution set for $-x^2 + 2x > -3$ ?
How do you solve the inequality: $x+14<-11$ ?
How do you solve the inequality: $0 < 2y + 8 < 12$ ?
How do you solve the inequality: $3 > 2 (5-y) + 3 > -17$ ?
How do you solve the inequality: $4> -5x+3$ and $11<-5x+4$ ?
How do you solve the inequality: $-1/6<= 4x-4<1/3$ ?
How do you solve the inequality: $5x + 10 >=10$ and $7x - 7 <=14$ ?
How do you solve the inequality: $4x - 5 < -17$ and $5x +6 > 31$ ?
How do you solve the inequality $-x < 2x^3 < -8x^3$ ?
How do you solve the inequality 2x+11>5 and 10x-13<-13?
How do you solve the inequality 9x-5<4 or 5x+5>20?
How do you solve the inequality 4x - 2 < 6 or 3x + 1 > 22?
How do you solve the inequality $-5 < 2x + 1 < 15$ ?
How do you solve the inequality $-8<=1 -3(x-2) < 13$ ?
How do you solve the inequality $(x+6)^2 <=8$ ?
What is meant by an "inequality relation"?
How do you solve the inequality $3a ≤ - 2 - 3a$ or $3a > 2 - a$ ?
How do you solve the inequality $-8 < 2(x+3)$ and $2(x+3) <8$ ?
How do you solve the inequality $9 > -3 (x - 1) ≥ -12$ ?
How do you solve the inequality $2 + 7 ≤ 17 + 2y$ or $4y ≥ 49 - 3y$ ?
How do you solve the inequality $d + 6 ≤ 4d - 9$ or $3d -1 <2d + 4$ ?
How do you solve the inequality $3(t - 3) + 1 ≥ 7$ and $2(t + 1) + 3 ≤ 1$ ?
How do you solve the inequality $6 <x - 6 <=8$ ?
How do you solve the inequality $-4 < 2 + x <1$ ?
How do you solve the inequality $5x + 7 <2$ and $5x + 7> –18$ ?
How do you solve the inequality $2x – 5< –5$ or $2x + 2>4$ ?
How do you solve the inequality $2x> -6$ and $x - 4<=3$ ?
How do you solve the inequality $x + 5 ≥ 2x + 1$ and $-4x <-8$ ?
How do you solve the inequality $-6 < x + 3 <6$ ?
How do you solve the inequality $-3x< -6$ or $x + 5<= -2$ ?
How do you solve the inequality $x - 2 ≥ 2x + 1$ or $-10> -2x - 2$ ?
How do you solve the inequality $x^2 + 2x - 3 <=0$ ?
How do you solve $- 7< 5 - 2y <= 1?$
How do you solve $-3x + 2 >11$ or $5(x - 2) <0$ ?
How do you solve $1/3x + 2 >3$ and $-3x > 12$ ?
How do you graph the inequality $2x> -6$ and $x - 4<3$ ?
How do you graph the inequality $x + 5 >2x + 1$ and $-4x < -8$ ?
How do you graph the inequality $-6 <x + 3 < 6$ ?
How do you graph the inequality $-3x < -6$ or $x + 5< -2$ ?
How do you solve and graph $-3 ≤ 3 - 2x< 11$ ?
How do you solve and graph $-1/3<=(4x-1 )/ 3 <1/2$ ?
How do you solve and graph $4>=2y-5>=-2$ ?
How do you solve and graph $y-2<4$ and $y+4>7$ ?
How do you solve and graph $x+8<5$ or $x-1>3$ ?
How do you solve and graph $2x> -10$ and $9x<18$ ?
How do you solve and graph $2x < 10$ and $-5x <5$ ?
How do you solve and graph $4> -2x+3$ or $12< -4x+5$ ?
How do you solve and graph $0 < 2y + 8<12$ OR $3> 2 (5-y) + 3 > -17$ ?
How do you solve and graph $x ≥ 5 and x <1$ ?
How do you solve and graph $x - 3< -7$ or $x + 5>=8$ ?
How do you solve and graph $-23<=2x - 1<=1$ ?
How do you solve and graph $−44> −2x − 8 ≥ −8$ ?
How do you solve and graph $-9 <=2x-5$ and $2x +1 < 5$ ?
How do you solve and graph $x < -1$ or $x > 1$ ?
How do you solve and graph $-3<=3-2x<=9$ ?
How do you solve and graph $-6 <3x + 2 < 11$ ?
How do you solve and graph $–6b>42$ or $4b>–4$ ?
How do you solve and graph $3x < -9$ or $x + 2 ≥ 10$ ?
How do you solve $-x<2x +3 <-8x+ 3$ ?
How do you solve $-2<=x-7<=11$ ?
How do you solve and graph $-16<=3x-4<=2$ ?
How do you solve and graph $-5<=-n-6<=0$ ?
How do you solve and graph $-2<-2n+1<=7$ ?
How do you solve and graph $-7<6x-1<5$ ?
How do you solve and graph $-8<2/3x-4<10$ ?
How do you solve and graph $x+2<=5$ or $x-4>=2$ ?
How do you solve and graph $3x+2<-10$ or $2x-4> -4$ ?
How do you solve and graph $-5x-4<-1.4$ or $-2x+1>11$ ?
How do you solve and graph $x-1<=5$ or $x+3>=10$ ?
How do you solve and graph $-0.1<=3.4x-1.8<6.7$ ?
Question #16e3a
How do you solve $-5< \frac{8x - 5}{6} < 7$ ?
How do you solve $14> - 2x + 2> - 4$ ?
How do you graph the inequality $-2<=x<5$ ?
How do you graph the inequality $x>=3$ or $x< -3$ ?
How do you graph the inequality $x<4$ ?
How do you graph the inequality $-4<x<=4$ ?
How do you graph the inequality $x>=4$ or $x< -4$ ?
How do you graph the inequality $-4<=x<=4$ ?
How do you graph the inequality $x>4$ or $x<= -4$ ?
How do you solve and graph $r+6< -8$ and $r-3> -10$ ?
How do you solve and graph $2<=g+4<7$ ?
How do you solve and graph $f-6<5$ and $f-4>=2$ ?
How do you solve and graph $n+2<=-5$ and $n+6>=-6$ ?
How do you solve and graph $y-1>=7$ or $y+3< -1$ ?
How do you solve and graph $-5<3p+7<=22$ ?
How do you solve and graph $-3<=7c+4<18$ ?
How do you solve and graph $5h+ -4>=6$ and $7h+11<32$ ?
How do you solve and graph $-4z+13>=29$ and $10<6a-14$ ?
How do you solve and graph $-y+5>=9$ or $3y+4< -5$ ?
How do you solve and graph $3b+2<5b-6<=2b+9$ ?
How do you solve and graph $-2a+3>=6a-1>3a-10$ ?
How do you solve and graph $5n-1< -16$ or $-3n-1<8$ ?
How do you write the inequality and solve "eight less than a number is no more than 14 and no less than 5#?
How do you write the inequality and solve "the sum of 3 times a number and 4 is between -8 and 10#?
How do you write the inequality and solve "the product of -5 and a number is greater than 35 or less than 10#?
How do you write the inequality and solve one half a number is greater than 0 and less than or equal to 1#?
How do you solve $4c-4<8c-16<6c-6$ ?
How do you solve $5<1/2p+3<8$ ?
How do you solve and graph $m-3<6$ and $m+2>4$ ?
How do you solve and graph $-4<2t-6<8$ ?
How do you solve $2\leq 6x - 1< 21$ ?
How do you solve $1< 3x - 2\leq 10$ ?
Question #f4b24
Question #fc972
How do you solve $3x + 2< 5( x - 4)$ ?
What the sum of the integer solutions of the compound inequality $2abs(x-5)$ <16#?
Question #b14cf
How do you solve $15g+18>13g-2>=6+15g$ ?
How do you solve the compound inequality $k+2>12$ and $k+2<=18$ ?
How do you solve the compound inequality $3<2x-3<15$ ?
How do you solve the compound inequality $3t-7>=5$ and $2t+6<=12$ ?
How do you solve the compound inequality $h-10< -21$ or $h+3<2$ ?
How do you solve the compound inequality $4<2y-2<10$ ?
What values of the variable make both inequalities true $(d+176)/3<116$ and $24+d>368$ ?
How do you solve and graph $m-2< -8$ or $m/8>1$ ?
How do you write down all possible values of y given $-8<=2y<3$ and y is an integer?
How do you solve and graph $v+8<3$ or $-8v< -40$ ?
How do you solve $3- 2( 5x - 4) > - 9$ and $3x > - 4( x - 2)$ ?
How do you solve and graph $x-1<=9$ or $2x>=24$ ?
How do you solve $m/4<2$ or $-3+m>7$ ?
A number is less than 24 or greater the 30. How do you write compound inequality that represents the possible values the number?
A company is making an action figure that must be at least 19.21 centimeters tall and at most 31.23 centimeters tall. How do you write a compound inequality that describes how tall the action figure can be and put the answer in set builder notation?
How do you solve $12> -3q$ and $-2q> -12$ ?
How do you solve and graph $2n-4<=-22$ or $8n-5>=-53$ ?
How do you graph $6>=m$ and $m> -2$ ?
What is the solution set of $(h-6)^2=400$ ?
How do you solve $6> k + 14> - 4$ ?
How do you solve $14\leq 2t + 18< 20$ ?
How do you solve 2x+3>7 or 2x+9>11?
How do you solve -6x+14<-28 or 9x+15<-12?
How do you graph $3x+2>2, 3x<=6$ ?
How do you solve $-6>2x$ or $5<x+3$ ?
How do you solve $4v+9<=5$ or $-3v>=-6$ ?
Question #b2d18
How do you solve $14< 5p + 4< 34$ ?
How do you solve $-1 <= x-3 <= 5$ ?
Solve for $x$ ? $3(x-4)<12 or 4(x+3)<12$
How do you solve $-15\leq - 4x + 5< - 3$ ?
How do you solve $-101\leq 10x - 1\leq 69$ ?
How do you solve $-2< ( 2- 2x ) < 3$ ?
How do you solve this system of inequalities: $7x + 2y < - 2 and - 4x + 3y \geq 3$ ?

Linear Inequalities and Absolute Value

View all chapters

Inequality Expressions
Inequalities with Addition and Subtraction
Inequalities with Multiplication and Division
Multi-Step Inequalities
Compound Inequalities
Applications with Inequalities
Absolute Value
Absolute Value Equations
Graphs of Absolute Value Equations
Absolute Value Inequalities
Linear Inequalities in Two Variables
Theoretical and Experimental Probability

Science

Math

Humanities

... and beyond

Compound Inequalities

Key Questions

Questions

Linear Inequalities and Absolute Value