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:
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-10.1010: This is less than -4. (Does not satisfy the inequality)
-
−46/11: This is approximately -4.1818, which is less than -4. (Does not satisfy the inequality)
-
−√10: The value of \(-\sqrt{10}\) is approximately -3.162, which is greater than -4. (Satisfies the inequality)
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-2.101101110...: This is approximately -2.1, which is greater than -4. (Satisfies the inequality)
-
-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 \( x \geq -4 \).