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...

−7522
negative 75 over 22

-10.1010
-10.1010

−7–√
negative square root of 7
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Answer 1

To determine which of the numbers listed makes the inequality \( x \leq -3 \) true, we need to check if each number is less than or equal to -3.

1. **-3.14**: This is less than -3. True.
2. **-2.101101110...**: This is greater than -3. False.
3. **-7522**: This is much less than -3. True.
4. **-10.1010**: This is less than -3. True.
5. **−√7**: The value of \(-\sqrt{7}\) is approximately -2.645751311, which is greater than -3. False.

Thus, the numbers that make the inequality \( x \leq -3 \) true are:

- **-3.14**
- **-7522**
- **-10.1010**

So the correct responses are:
- -3.14
- −7522
- -10.1010