Question

Which of the following values for b makes the inequality -32.5 - 6b ≥ 48.5 true? (1 point)
0 -13.5
0 -12.5
0 -12
0 -13

Answer 1

To solve the inequality \(-32.5 - 6b \geq 48.5\), we'll isolate \(b\):

1. First, add \(32.5\) to both sides:

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

\[
-6b \geq 81
\]

2. Next, divide both sides by \(-6\). Remember that dividing by a negative number reverses the inequality:

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

\[
b \leq -13.5
\]

Now, we need to find which of the listed values for \(b\) satisfies \(b \leq -13.5\):

- \(b = 0\) (not less than -13.5)
- \(b = -13.5\) (equals -13.5)
- \(b = -12.5\) (greater than -13.5)
- \(b = -12\) (greater than -13.5)
- \(b = -13\) (greater than -13.5)

The value that satisfies the inequality \(b \leq -13.5\) is:

\(-13.5\)

So, the correct answer is:

\(-13.5\)