How do you solve 2x+3(x-2)>=x+2?

1 Answer
Meave60
Mar 30, 2017

x>=2

Explanation:

Solve:

2x+3(x-2)>=x+2

Expand.

2x+3x-6>=x+2

Subtract x from both sides.

2x+3x-x-6>=2

Add 6 to both sides.

2x+3x-x-6+6>=x-x+2+6

Simplify.

2x+3x-x-color(red)cancel(color(black)(6))+color(red)cancel(color(black)(6))>=color(red)cancel(color(black)(x))-color(red)cancel(color(black)(x))+2+6

4x>=8

Divide both sides by 4.

(color(red)cancel(color(black)(4))x)/color(red)cancel(color(black)(4))>=color(red)cancel(color(black)(8))^color(blue)2/color(red)cancel(color(black)(4))^color(blue)1

x>=2

Related questions
See all questions in Multi-Step Inequalities
Impact of this question
1071 views around the world
You can reuse this answer
Creative Commons License