Question

Which of the following are solutions to the inequality below? Select all that apply.

x − 7 ≤ 1

Answer 1

theres only x=7,x=9,x=11,and x=12

Answer 2

To solve the inequality \( x - 7 \leq 1 \), we can isolate \( x \) as follows:

1. Start with the original inequality:
\[
x - 7 \leq 1
\]
2. Add 7 to both sides:
\[
x \leq 1 + 7
\]
3. 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.

Answer 3

Given the inequality we've solved, \( x \leq 8 \), we can evaluate the options provided:

- \( x = 7 \): This is a solution, as \( 7 \leq 8 \).
- \( x = 9 \): This is not a solution, as \( 9 \) is greater than \( 8 \).
- \( x = 11 \): This is not a solution, as \( 11 \) is greater than \( 8 \).
- \( x = 12 \): This is not a solution, as \( 12 \) is greater than \( 8 \).

Therefore, the only solution among the provided options is:

- **\( x = 7 \)**.