Questions: 17 ≤ x/2 + 11

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

Solution

Step 1: Subtract 11 from both sides

$17 \le \frac{x}{2} + 11$ $17 - 11 \le \frac{x}{2} + 11 - 11$ $6 \le \frac{x}{2}$

Step 2: Multiply both sides by 2

$6 \le \frac{x}{2}$ $6 * 2 \le \frac{x}{2} * 2$ $12 \le x$

Step 3: Rewrite the inequality

$x \ge 12$

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

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