Question

-2x+2>3x-8

50 points

Answer 1

Given:

The inequality is

`-2x+2>3x-8`

To find:

The solution of the given inequality.

Solution:

We have,

`-2x+2>3x-8`

Isolate the variables terms on the left side.

`-2x-3x>-2-8`

`-5x>-10`

Divide both sides by -5 and change the inequality sign as we divide the equality by a negative value.

`(-5x)/(-5)<(-10)/(-5)`

`x<2`

Therefore, the correct option is D.