Question

Solve the inequality for x. Be sure to show all work to receive full credit.

−3x + 5 ≤ −16

Answer 1

x ≥ 7

Explanation:

First, put the same terms on the same side. So subtract 5 from both sides. You will get:

-3x ≤ -21

Divide both sides by -3 to get x alone. When dividing, the inequality sign will change to the opposite. So it will go from a (less than or equal to) sign to a (greater than or equal to) sign.

You will get:

x ≥ 7

Therefore, x will be a number that is greater than or equal to 7.