Question

Penelope is playing a number game with her sister June. Penelope is thinking of a number and wants June to guess it. Five more than three times her number is between 5 and 32. Write a compound inequality that shows the range of numbers that Penelope might be thinking of.

Answer 1

ye.

Explanation:

Let's break down the given information:

Penelope's number: x

Five more than three times her number: 3x + 5

According to the problem, this expression is between 5 and 32.

So, we can write the compound inequality as follows:

5 < 3x + 5 < 32

Simplifying the inequality:

Subtracting 5 from all parts of the inequality, we get:

5 - 5 < 3x + 5 - 5 < 32 - 5

0 < 3x < 27

Dividing all parts of the inequality by 3 (since we want to isolate x), we have:

0/3 < (3x)/3 < 27/3

0 < x < 9

Therefore, the compound inequality that shows the range of numbers Penelope might be thinking of is 0 < x < 9.