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.