For the inequality x ≥ -4, which number(s) listed makes the inequality true?

Question

(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...