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

Question

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