For the inequality x≥−4

Question

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

A. -10.1010
B. -46/11
C. -5
D. -√10
E. -2.101101110

Answer 1

To determine which numbers satisfy the inequality \( x \geq -4 \), we need to check each option to see if it is greater than or equal to \(-4\).

A. \(-10.1010\) is less than \(-4\). (False)

B. \(-46/11\) is approximately \(-4.18\) (since \(-46/11 \approx -4.18\)). It is less than \(-4\). (False)

C. \(-5\) is less than \(-4\). (False)

D. \(-\sqrt{10}\) is approximately \(-3.16\). It is greater than \(-4\). (True)

E. \(-2.101101110\) is greater than \(-4\) (approximately \(-2.10\)). (True)

The numbers that make the inequality \( x \geq -4 \) true are:

D. -√10

E. -2.101101110