For the inequality x≥−4

Question

, which number(s) listed makes the inequality true? (Check all that apply)(2 points)
Responses

-10.1010

-5

-2.101101110...

−10−−√

−46/11

Answer 1

To determine which numbers satisfy the inequality \( x \geq -4 \), we need to check each of the given numbers.

1. -10.1010

   • This number is less than -4. (False)

2. -5

   • This number is also less than -4. (False)

3. -2.101101110...

   • This number is greater than -4. (True)

4. −10−−√ (which is the square root of -10)

   • Since the square root of a negative number is not real, this does not apply in the context of real numbers. (False)

5. −46/11

   • This evaluates to approximately -4.18, which is less than -4. (False)

Therefore, the only number that makes the inequality true is -2.101101110....