Question

3b + 2 > 5 and 9b - 2 < 25.

A. b > 1 and b < 3
B. b > 3 and b < 5
C. b > 4 and b < 7
D. b > -3 and b < 3

Answer 1

The correct solution to the inequalities 3b + 2 > 5 and 9b - 2 < 25 is A. b > 1 and b < 3, after solving each inequality for b.

Step-by-step explanation:

To solve the inequalities 3b + 2 > 5 and 9b - 2 < 25, we need to isolate the variable b in each inequality.

First, let's solve 3b + 2 > 5:
Subtract 2 from both sides to get 3b > 3.
Divide both sides by 3 to get b > 1.

Next, let's solve 9b - 2 < 25:
Add 2 to both sides to get 9b < 27.
Divide both sides by 9 to get b < 3.

Combining these inequalities, we find that b > 1 and b < 3. Therefore, the correct answer is A. b > 1 and b < 3.