Question

For the inequality x≤−3
, which number(s) listed makes the inequality true? (Check ALL that apply!)(3 points)
Responses
A
-3.14

B
−7522
negative 75 over 22
C
−7–√
negative square root of 7
D
-2.101101110...

E
-10.1010

Answer 1

To determine which numbers make the inequality true, we need to substitute each number into the inequality and see if it is satisfied.

For the inequality x ≤ -3:
A) -3.14: -3.14 is less than -3, so it satisfies the inequality.
B) -7522: -7522 is less than -3, so it satisfies the inequality.
C) -7-√: This is not a specific number and cannot be compared to -3. We cannot determine if it satisfies the inequality.
D) -2.101101110...: -2.101101110... is greater than -3, so it does not satisfy the inequality.
E) -10.1010: -10.1010 is less than -3, so it satisfies the inequality.

Therefore, the numbers that make the inequality true are A) -3.14, B) -7522, and E) -10.1010.