Question

For the inequality x≤−3 , which number(s) listed makes the inequality true? (Check ALL that apply!)
A. -sqrt7
B. - 75/22
C. -2.101101110
D. -10.1010

Answer 1

To determine which numbers satisfy the inequality \( x \leq -3 \), we compare each number to \(-3\):

A. \(-\sqrt{7} \approx -2.645751\) (since \(\sqrt{7} \approx 2.645751\)). This is greater than \(-3\), so it does not satisfy the inequality.

B. \(-\frac{75}{22} \approx -3.409091\). This is less than \(-3\), so it satisfies the inequality.

C. \(-2.101101110\). This is greater than \(-3\), so it does not satisfy the inequality.

D. \(-10.1010\). This is less than \(-3\), so it satisfies the inequality.

Based on this analysis, the numbers that make the inequality \( x \leq -3 \) true are:

**B. -75/22**
**D. -10.1010**