Question

2x – 3 > -4x + 2
What is the solution to the inequality

Answer 1

`x>(5)/(6)`

Explanation:

`2x-3>-4x+2`

Add 3 to both sides

`2x-3+3>-4x+2+3`

Simplify

`2x>-4x+5`

Add
`4x` to both sides

`2x+4x>-4x+5+4x`

Simplify

`6x>5`

Divide both sides by 6

`(6x)/(6) >(5)/(6)`

Simplify

`x>(5)/(6)`