ANSWER
c. |-7|, 10, 15
Step-by-step explanation
We have the statement:
|-5| <
We need to find the list that would make the statement true.
The statement above is an absolute value inequality and so it has two meanings:
-5 < x and -5 > -x
where x represent the whichever number is on the other side of the inequality
A. 0, 1, 2
We have:
-5 < 0 and -5 > 0
Since this is already wrong (-5 is not greater than 0), this list is wrong.
B. -8, -10, -12
We have:
-5 < -8 and -5 > 8
Since this is already wrong (-5 is not greater than 8), this list is wrong.
C. |-7|, 10, 15
We have:
-5 < |-7| and -5 > -|-7|
=> -5 < 7 and -5 > -7
-5 < 10 and -5 > -10
-5 < 15 and -5 > -15
As, we can see, all three statements are true, so this is the correct list.