To solve the inequality \( x + 2 \leq 6 \), follow these steps:
- Subtract 2 from both sides of the inequality: \[ x + 2 - 2 \leq 6 - 2 \] This simplifies to: \[ x \leq 4 \]
So the solution to the inequality \( x + 2 \leq 6 \) is \( x \leq 4 \).
In interval notation, this solution can be represented as: \[ (-\infty, 4] \]