Question

which values are soloutions to the inequality -3x - 4 < 2 ? check all of the boxes that apply

Answer 1

Given:

The inequality is:

$-3x-4<2$

To find:

The values that are solutions to the given inequality.

Solution:

We have,

$-3x-4<2$

Adding 4 on both sides, we get

$-3x-4+4<2+4$

$-3x<6$

Divide both sides by -3 and change the inequality sign because -3 is a negative value.

$\dfrac{-3x}{-3}>\dfrac{6}{-3}$

$x>-2$

Therefore, all the real values greater than -2 are the solutions to the given inequality.