To solve the inequality \( \frac{x}{2} + 7 \geq 9 \), follow these steps:
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Subtract 7 from both sides: \[ \frac{x}{2} \geq 9 - 7 \] \[ \frac{x}{2} \geq 2 \]
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Multiply both sides by 2 to isolate \( x \): \[ x \geq 4 \]
Thus, the solution to the inequality is: \[ x \geq 4 \]