Question

For the inequality x≥−4
𝑥
≥
−
4
, which number(s) listed makes the inequality true? (Check all that apply)(2 points)
Responses

-10.1010
-10.1010

−4611
−
46
11

negative 46 over 11

-2.101101110...
-2.101101110...

-5
-5

−10−−√

Answer 1

I’ll compare each number to −4 (x ≥ −4 means x must be −4 or larger).

- −10.1010 ≈ −10.1010, which is < −4 → does NOT satisfy.
- −46/11 = −4.1818…, which is < −4 → does NOT satisfy.
- −2.101101110… ≈ −2.1011, which is > −4 → satisfies.
- −5 is < −4 → does NOT satisfy.
- If the last item is −√10 (≈ −3.1623), that is > −4 → satisfies.

So the numbers that make the inequality true are: −2.101101110… and (assuming the last entry is −√10) −√10.

If the last expression was something else, tell me exactly how it’s written and I’ll re-check.