Question

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

−4611
negative 46 over 11

−10−−√
negative square root of 10

-2.101101110...
-2.101101110...

-5

Answer 1

To determine which numbers satisfy the inequality \( x \geq -4 \), we need to identify which of the given numbers are greater than or equal to -4.

Let's analyze each option:

1. **-10.1010**: This is less than -4. **(Does not satisfy the inequality)**

2. **−46/11**: This is approximately -4.1818, which is less than -4. **(Does not satisfy the inequality)**

3. **−√10**: The value of \(-\sqrt{10}\) is approximately -3.162, which is greater than -4. **(Satisfies the inequality)**

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

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

So, the numbers that make the inequality true are:

- **−√10**
- **-2.101101110...**

These are the satisfied numbers for the inequality \( x \geq -4 \).