x/2+7\(\le \)9

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To solve the inequality \( \frac{x}{2} + 7 \leq 9 \), follow these steps:

  1. Subtract 7 from both sides: \[ \frac{x}{2} \leq 9 - 7 \] \[ \frac{x}{2} \leq 2 \]

  2. 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: \[ x \leq 4 \]