Question

For the inequality x ≥ -4, which number(s) listed makes the inequality true?
(Check all that apply) (2 points)
-5
O —√10
・-46/11
• -2.101101110...
• -10.1010

Answer 1

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

1. **-5**:
- This is less than -4.
- **Does not satisfy** the inequality.

2. **O —√10**: Assuming "O" is a typographical error and it should just be **-√10**.
- Approximately, \(-√10\) is about -3.16, which is greater than -4.
- **Satisfies** the inequality.

3. **-46/11**:
- Calculating \(-46/11\) gives approximately -4.18, which is less than -4.
- **Does not satisfy** the inequality.

4. **-2.101101110...**:
- This number is approximately -2.1, which is greater than -4.
- **Satisfies** the inequality.

5. **-10.1010**:
- This number is less than -4.
- **Does not satisfy** the inequality.

Based on this analysis, the numbers that satisfy the inequality \( x \geq -4 \) are:

- **-√10**
- **-2.101101110...**