How do you solve -2( x + 4) > 6x - 42(x+4)>6x4?

1 Answer
Aug 14, 2018

x< -1/2x<12

Explanation:

"distribute bracket on left side"distribute bracket on left side

-2x-8>6x-42x8>6x4

"subtract "6x" from both sides"subtract 6x from both sides

-2x-6x-8> -42x6x8>4

-8x-8> -48x8>4

"add 8 to both sides"add 8 to both sides

-8x>48x>4

"divide both sides by "-8divide both sides by 8

color(blue)"reversing the symbol as a consequence"reversing the symbol as a consequence

x< -1/2x<12

x in(-oo,-1/2)larrcolor(blue)"in interval notation"x(,12)in interval notation