To solve the inequality \(10w + 213 \geq 299\), follow these steps:
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Subtract 213 from both sides: \[ 10w \geq 299 - 213 \] \[ 10w \geq 86 \]
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Divide both sides by 10: \[ w \geq \frac{86}{10} \] \[ w \geq 8.6 \]
Thus, the solution to the inequality is: \[ w \geq 8.6 \]