Question

-7x + 2 > -2x - 13.

Answer 1

The answer to the equation -7x + 2 > -2x - 13 is
`x < 3`.

Explanation:

How can we solve this problem?

`-7x+2 > -2x-13`

`-7x+2-2 > -2x-13-2`

`-7x > -2x-15`

`-7x+2x > -2x+2x-15`

`-5x > -15`

Multiply by -1 to reverse the inequality.

`-5x(-1) < -15(-1)`

`5x < 15`

`(5x)/(5) < (15)/(5)`

`x < 3`