Question

4.
Solve the inequality.

6(b – 4) > 30


b > 9


b < 34


b > 34


b > 5

Answer 1

To solve the inequality \( 6(b - 4) > 30 \), we can follow these steps:

1. Distribute the 6 on the left side:
\[
6b - 24 > 30
\]

2. Add 24 to both sides to isolate the term with \( b \):
\[
6b > 30 + 24
\]
\[
6b > 54
\]

3. Divide both sides by 6:
\[
b > 9
\]

So the solution to the inequality is \( b > 9 \).

Among the options provided:
- \( b > 9 \): This option is correct.
- \( b < 34 \): This is not necessarily true based on the solution.
- \( b > 34 \): This is incorrect.
- \( b > 5 \): This is also correct but not the most specific solution.

Therefore, the correct answer is:
**\( b > 9 \)**.