Josh determined the solution set to the following inequality. His work is shown below.
|36 – 4p| > 16
1. (36 – 4p) > 16, –(36 – 4p) > 16
2. –4p > –20
p > 5
3. –36 + 4p > 16
4p > 52
p > 13
4. p > 5 or p > 13
Analyze Josh’s work. Is he correct? If not, what was his mistake?
Yes, he is correct.
No. In step 1 his second inequality is not correct.
No. When solving the first inequality in step 2, he did not flip the inequality sign when he divided by a negative.
No. When solving the second inequality in step 3, he did not flip the inequality sign when dividing by a positive.