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2. which value(s) of x makes the sentence true? choose all correct answ…

Question

  1. which value(s) of x makes the sentence true? choose all correct answers. draw a number line to help.

-8 < x

a. -13
b. -8
c. -7
d. 0

Explanation:

Step1: Analyze the inequality

The inequality $-8 < x$ means $x$ must be greater than -8.

Step2: Test Option A

Check if $-13 > -8$: $-13$ is less than $-8$, so false.

Step3: Test Option B

Check if $-8 > -8$: $-8$ is equal to $-8$, not greater, so false.

Step4: Test Option C

Check if $-7 > -8$: $-7$ is greater than $-8$, so true.

Step5: Test Option D

Check if $0 > -8$: $0$ is greater than $-8$, so true.

Answer:

C. -7
D. 0