Solve the compound inequality. Graph the solutions.

Question

13<4p-3<25

Answer 1

To solve the compound inequality, we will solve each inequality separately and then combine the solutions.

First inequality:
13 < 4p - 3

Adding 3 to both sides:
16 < 4p

Dividing both sides by 4:
4 < p

Second inequality:
4p - 3 < 25

Adding 3 to both sides:
4p < 28

Dividing both sides by 4:
p < 7

Combining the solutions:
The solution to the compound inequality is 4 < p < 7.
To graph the solution, we can use an open circle at 4 and an open circle at 7 on a number line, then shade the region between them.