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...

−7522
negative 75 over 22

-10.1010
-10.1010

−7–√
negative square root of 7
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Answer 1

To determine which of the numbers listed makes the inequality $x\le -3$ true, we need to check if each number is less than or equal to -3.

1. -3.14: This is less than -3. True.
2. -2.101101110...: This is greater than -3. False.
3. -7522: This is much less than -3. True.
4. -10.1010: This is less than -3. True.
5. −√7: The value of $-\sqrt{7}$ is approximately -2.645751311, which is greater than -3. False.

Thus, the numbers that make the inequality $x\le -3$ true are:

• -3.14
• -7522
• -10.1010

So the correct responses are:

• -3.14
• −7522
• -10.1010