Are any of these correct?

Question

Which of the following statements is true if x = −2 and y = 8? Select all that apply.

1. 
   
2. A.
3. |x| ≤ |y|
4. 
   
5. B.
6. |y| ≥ |x|
7. 
   
8. C.
9. |x| > |y|
10. 
    
11. D.
12. |y| < |x|

Answer 1

Let x = -2 and y = 8.

A. |x| ≤ |y| → |-2| ≤ |8| → 2 ≤ 8

B. |y| ≥ |x| → |8| ≥ |-2| → 8 ≥ 2

C. |x| > |y| → |-2| > |8| → 2 > 8

D. |y| < |x| → |8| ≤ |-2| → 8 < 2

Choices A and B are correct. When a number or variable has a negative sign inside the absolute value sign, then it is automatically positive.

Answer 2

Hi! The parallel lines indicate absolute values, meaning that any negative numbers would change to the positive value of that number. If numbers are already positive, they stay positive.

So in A, 2 is less than or equal to 8? Correct

In B, 8 is greater than or equal to 2? Correct

In C, 2 is greater than 8? Wrong

In D, 8 is less than 2? Wrong

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