To solve the inequality \( x - 7 \leq 1 \), we can isolate \( x \) as follows:
- Start with the original inequality: \[ x - 7 \leq 1 \]
- Add 7 to both sides: \[ x \leq 1 + 7 \]
- Simplify the right side: \[ x \leq 8 \]
So the solution to the inequality is \( x \leq 8 \).
Now, you need to check which values are solutions. Any value less than or equal to 8 will satisfy the inequality.
For example:
- \( x = 8 \) (solution)
- \( x = 7 \) (solution)
- \( x = 0 \) (solution)
- \( x = -1 \) (solution)
- \( x = 9 \) (not a solution)
If you have a list of specific values, you can compare them to the solution \( x \leq 8 \) to identify the applicable solutions.