Final answer:
The value of r that is not in the solution to the compound inequality -15 < 2x – 9 < 5 is any value of x that is less than -3 or greater than 7.
Step-by-step explanation:
To find the value of r that is not in the solution to the compound inequality -15 < 2x – 9 < 5, we need to solve it step by step.
1. Subtract 9 from all parts of the inequality:
-15 + 9 < 2x – 9 + 9 < 5 + 9
-6 < 2x < 14
2. Divide all parts by 2:
-6/2 < 2x/2 < 14/2
-3 < x < 7
Therefore, the value of r that is not in the solution is any value of x that is less than -3 or greater than 7.