Question

For the inequality x≥−4
, which number(s) listed makes the inequality true? (Check all that apply)(2 points)
Responses

-10.1010
-10.1010

-5
-5

−10−−√
negative square root of 10

-2.101101110...
-2.101101110...

−4611

Answer 1

To determine which numbers satisfy the inequality \( x \geq -4 \), we need to check each option to see if it is greater than or equal to \(-4\).

1. **-10.1010**: This value is less than -4. Not a solution.
2. **-5**: This value is also less than -4. Not a solution.
3. **−√10**: The approximate value of \(-\sqrt{10}\) (which is approximately -3.16) is greater than -4. This is a solution.
4. **-2.101101110...**: This value is greater than -4. This is a solution.
5. **−4611**: This value is much less than -4. Not a solution.

Thus, the numbers that make the inequality true are:
- \(-\sqrt{10}\)
- \(-2.101101110...\)

These are the valid responses that satisfy the inequality \( x \geq -4 \).