For the inequality x≤−3

Question

, which number(s) listed makes the inequality true? (Check ALL that apply!)(3 points)
Responses

-3.14
-3.14

-2.101101110...
-2.101101110...

-10.1010
-10.1010

−7–√
negative square root of 7

−75/22

Answer 1

To determine which numbers make the inequality \( x \leq -3 \) true, we need to check each option:

1. -3.14: This is less than -3, so it satisfies the inequality. (true)

2. -2.101101110...: This is greater than -3, so it does not satisfy the inequality. (false)

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

4. −7√ (which is approximately -2.64575131106): This is greater than -3, so it does not satisfy the inequality. (false)

5. −75/22 (which is approximately -3.40909090909): This is less than -3, so it satisfies the inequality. (true)

Thus, the numbers that satisfy the inequality \( x \leq -3 \) are:

• -3.14
• -10.1010
• -75/22

In summary, the answers are:

• -3.14
• -10.1010
• -75/22