Solve the following inequality. Click Here for help Video

Question

2
𝑥
−
6

≤
8
2x−6 ≤8

Answer 1

To solve the inequality \( 2x - 6 \leq 8 \), follow these steps:

1. Add 6 to both sides: \[ 2x - 6 + 6 \leq 8 + 6 \ 2x \leq 14 \]

2. Divide both sides by 2: \[ \frac{2x}{2} \leq \frac{14}{2} \ x \leq 7 \]

Thus, the solution to the inequality \( 2x - 6 \leq 8 \) is: \[ \boxed{x \leq 7} \]