Question

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

options:

-2.101101110...
-2.101101110...

-10.1010
-10.1010

-5
-5

−46 over 11

−√10

Answer 1

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

1. **-2.101101110...** (this number is greater than -4)
2. **-10.1010** (this number is less than -4)
3. **-5** (this number is less than -4)
4. **−46 over 11** (approximately -4.18, less than -4)
5. **−√10** (approximately -3.16, greater than -4)

Based on this analysis, the numbers that make the inequality true (i.e., those that are greater than or equal to -4) are:

- -2.101101110...
- −√10

So the correct options are:

-2.101101110...
−√10