Question

Which of the following values for b makes the inequality negative 32.5 - 6B is greater than or equal to 48.5 true

Answer 1

To solve the inequality \(-32.5 - 6b \geq 48.5\), we can follow these steps:

1. Start by isolating the term involving \(b\):
\[
-6b \geq 48.5 + 32.5
\]

2. Calculate the right side:
\[
-6b \geq 81
\]

3. Next, divide both sides by \(-6\). Remember that when dividing by a negative number, the inequality sign flips:
\[
b \leq \frac{81}{-6}
\]

4. Simplifying the division:
\[
b \leq -13.5
\]

Thus, any value of \(b\) that is less than or equal to \(-13.5\) will make the original inequality true.