Diego is solving the inequality 100 − 3x ≥ -50. He solves the equation 100 − 3x = -50 and gets x = 50. What is the solution to the inequality?

Question

Diego is solving the inequality 100 − 3x ≥ -50. He solves the equation 100 − 3x = -50 and gets x = 50. What is the solution to the inequality?

Answer 1

100 - 3x ≥ -50

You want to get x by itself on one side of the inequality. Subtract 100 from both sides and get

-3x ≥ -150

Divide both sides by -3 and remember that when you multiply or divide by a negative number, the inequality gets reversed.

x ≤ 50