Question

Which list below contains numbers that would make the following statement true:|-5 |< Options:a. 0,1,2b. -8,-10,-12c. |-7|, 10, 15d. 1, |-5|, 10

Answer 1

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.