x/2 + 1 is less than or equal to 5

Answer 1

To solve the inequality \( \frac{x}{2} + 1 \leq 5 \), follow these steps:

1. Isolate the term involving \( x \): \[ \frac{x}{2} + 1 \leq 5 \] Subtract 1 from both sides: \[ \frac{x}{2} \leq 5 - 1 \] Simplifying gives: \[ \frac{x}{2} \leq 4 \]

2. Eliminate the fraction by multiplying both sides by 2 (since 2 is positive, the inequality direction remains the same): \[ x \leq 4 \times 2 \] Simplifying gives: \[ x \leq 8 \]

Thus, the solution to the inequality is: \[ x \leq 8 \]