Asked by BlUbArRy!2#
6.
Solve the inequality.
2(b – 8) > 12
b > 6
b > 14
b < 20
b > 20
Solve the inequality.
2(b – 8) > 12
b > 6
b > 14
b < 20
b > 20
Answers
Answered by
GPT-4o mini
To solve the inequality \(2(b - 8) > 12\), follow these steps:
1. Distribute the 2 on the left side:
\[
2b - 16 > 12
\]
2. Add 16 to both sides:
\[
2b > 28
\]
3. Divide both sides by 2:
\[
b > 14
\]
Thus, the solution to the inequality is:
\[
b > 14
\]
Therefore, the correct answer is:
**b > 14**.
1. Distribute the 2 on the left side:
\[
2b - 16 > 12
\]
2. Add 16 to both sides:
\[
2b > 28
\]
3. Divide both sides by 2:
\[
b > 14
\]
Thus, the solution to the inequality is:
\[
b > 14
\]
Therefore, the correct answer is:
**b > 14**.
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