Question

What is the solution to the inequality -6+l 2p +3 l less than 7

Answer 1

Interpret the expression as -6 + |2p + 3| < 7.

Add 6 to both sides:
|2p + 3| < 13

This gives the double inequality:
-13 < 2p + 3 < 13

Subtract 3:
-16 < 2p < 10

Divide by 2:
-8 < p < 5

So the solution is p ∈ (-8, 5).