Question

For the inequality x≤−3
, which number(s) listed makes the inequality true? (Check ALL that apply!)(3 points)
Responses

-3.14
-3.14

-2.101101110...
-2.101101110...

-10.1010
-10.1010

−7–√
negative square root of 7

−75/22

Answer 1

To determine which numbers make the inequality \( x \leq -3 \) true, we need to check each option:

1. **-3.14**: This is less than -3, so it satisfies the inequality. **(true)**

2. **-2.101101110...**: This is greater than -3, so it does not satisfy the inequality. **(false)**

3. **-10.1010**: This is less than -3, so it satisfies the inequality. **(true)**

4. **−7√** (which is approximately -2.64575131106): This is greater than -3, so it does not satisfy the inequality. **(false)**

5. **−75/22** (which is approximately -3.40909090909): This is less than -3, so it satisfies the inequality. **(true)**

Thus, the numbers that satisfy the inequality \( x \leq -3 \) are:
- -3.14
- -10.1010
- -75/22

In summary, the answers are:
- -3.14
- -10.1010
- -75/22