9<4p-3<29

Answer 1

To solve this compound inequality, we must isolate the variable "p".

Starting with the left side of the inequality:
9 < 4p - 3

Adding 3 to both sides:
9 + 3 < 4p - 3 + 3
12 < 4p

Dividing both sides by 4 (since we're trying to solve for p, we want to get p by itself):
12/4 < 4p/4
3 < p

Now moving on to the right side of the inequality:
4p - 3 < 29

Adding 3 to both sides:
4p - 3 + 3 < 29 + 3
4p < 32

Dividing both sides by 4:
(4p)/4 < 32/4
p < 8

Combining the solutions:
3 < p < 8 is the solution to the compound inequality 9 < 4p - 3 < 29.