How do you solve and graph this inequality? 4x-3≥-1

Question

I really don't understand how to graph it! Help!!!!

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Answer 1 · 2018-04-05T10:29:02

The solution to the inequality expression $4 x - 3 \geq (- 1)$ $color(blue)(4x-3>= (-1)$ is $x \geq \frac{1}{2}$ $color(green)(x>=1/2$ .

Given:

**Inequality expression ** $4 x - 3 \geq (- 1)$ $4x-3>= (-1)$

Objective:

Keep $x$ $color(red)x$ on one side and all the other numeric values on the other side of the inequality.

$Step 1$ $color(red)("Step 1"$

Add $3$ $3$ to both sides of the inequality.

$4 x - 3 + 3 \geq (- 1) + 3$ $4x-3+color(red)( 3)>= (-1)+color(red) 3$

$4x-cancel 3+cancel 3 >=2$

$rArr 4x>=2$

$color(red)("Step 2"$

Divide both sides of the inequality by $color(red)4$

$rArr (4x)/color(red)4>=2/color(red) 4$

$rArr x>=1/2$

$rArr x>=0.5$

Hence,

the solution to the inequality expression $color(blue)(4x-3>= (-1)$ is $color(green)(x>=1/2$ ** OR ** $color(green)( x>= 0.5$ .

$color(red)("Step 3"$

Inequality graph is below:

enter image source here

Hope you find this solution helpful.