Question

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

−7–√
−
7
negative square root of 7

-2.101101110...
-2.101101110...

-10.1010
-10.1010

-3.14
-3.14

−7522
−
75
22
negative 75 over 22
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Answer 1

Numbers that satisfy x ≤ −3: -10.1010, -3.14, and -75/22.

Reason: compare each to −3:
- −√7 ≈ −2.646 (> −3) → not allowed
- −2.101101110... (> −3) → not allowed
- −10.1010 (< −3) → allowed
- −3.14 (< −3) → allowed
- −75/22 ≈ −3.409 (< −3) → allowed