To solve the inequality \( \frac{x}{2} + 7 \leq 9 \), follow these steps:
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Subtract 7 from both sides: \[ \frac{x}{2} \leq 9 - 7 \] \[ \frac{x}{2} \leq 2 \]
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Multiply both sides by 2 (since 2 is positive, the direction of the inequality does not change): \[ x \leq 2 \times 2 \] \[ x \leq 4 \]
Thus, the solution to the inequality is: \[ x \leq 4 \]