Question

Which of the following values for b makes the inequality −32.5−6b≥48.5true?(1 point)Responses−12.5negative 12.5−13.5negative 13.5−12negative 12−13

Answer 1

To solve the inequality \(-32.5 - 6b \geq 48.5\), we can first isolate the term involving \(b\).

1. Add \(32.5\) to both sides:

\[
-6b \geq 48.5 + 32.5
\]

\[
-6b \geq 81
\]

2. Next, divide both sides by \(-6\). Remember that when you divide by a negative number, the inequality sign flips:

\[
b \leq \frac{81}{-6}
\]

\[
b \leq -13.5
\]

This means that \(b\) can be any value less than or equal to \(-13.5\). Among the options provided, the correct choice is:

- **Negative 13.5** (since -13.5 itself is included in the inequality).

So the final answer is **−13.5**.