Question

What is Sampson’s mistake?

A: Sampson should subtract 3 from both sides of the inequality.

B: Sampson should divide by -3 on both sides of the inequality.

C: Sampson did not change the direction of the inequality symbol after multiplying both sides of the inequality by a negative number.

D: Sampson’s father found no mistakes in his work and the answer is correct.

Answer 1

Answer: Choice C

Sampson did not change the direction of the inequality symbol after multiplying both sides of the inequality by a negative number.

In short, the inequality sign must flip when we multiply both sides by a negative number.

After solving for x, the result should be x > -22.5

Answer 2

C: Sampson did not change the direction of the inequality symbol after multiplying both sides of the inequality by a negative number.

-3 + 3 is zero but Sampson take it as (-3) which is wrong