Questions: 17 ≤ x/2 + 11

17 ≤ x/2 + 11
Transcript text: $17 \leq \frac{x}{2}+11$
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Solution

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Solution Steps

Step 1: Subtract 11 from both sides

17x2+1117 \le \frac{x}{2} + 11 1711x2+111117 - 11 \le \frac{x}{2} + 11 - 11 6x26 \le \frac{x}{2}

Step 2: Multiply both sides by 2

6x26 \le \frac{x}{2} 62x226 * 2 \le \frac{x}{2} * 2 12x12 \le x

Step 3: Rewrite the inequality

x12x \ge 12

Final Answer:

The solution to the inequality is x12x \ge 12. On the number line, you would have a closed circle at 12 and shade to the right.

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