To solve the inequality \(-32.5 - 6b \geq 48.5\), we can follow these steps:
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Start by isolating the term involving \(b\): \[ -6b \geq 48.5 + 32.5 \]
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Calculate the right side: \[ -6b \geq 81 \]
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Next, divide both sides by \(-6\). Remember that when dividing by a negative number, the inequality sign flips: \[ b \leq \frac{81}{-6} \]
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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.