3<2p-5<11

Answer 1

To solve the inequality 3 < 2p - 5 < 11, we can isolate the variable p by performing the necessary operations step by step.

Step 1: Add 5 to all parts of the inequality:
3 + 5 < 2p - 5 + 5 < 11 + 5
8 < 2p < 16

Step 2: Divide all parts of the inequality by 2 (since we want to isolate p, we need to divide by the coefficient):
8/2 < 2p/2 < 16/2
4 < p < 8

Therefore, the solution to the inequality 3 < 2p - 5 < 11 is 4 < p < 8.