Is the comparison |12| > |−13| the same as 12 > −13?(1 point)

Question

Responses

No, because 12 > 13.
No, because 12 is greater than 13 .

Yes, because both statements are equal.
Yes, because both statements are equal.

No, because they do not compare the same values.
No, because they do not compare the same values.

No, because 12 < −13.

Answer 1

The correct response is:

No, because they do not compare the same values.

The comparison |12| > |−13| compares the absolute values of 12 and -13, which are both 12 and 13, respectively. The absolute value of 12 is 12, and the absolute value of -13 is 13. Thus, |12| > |−13| translates to 12 > 13, which is false.

In contrast, the comparison 12 > −13 is true since 12 is indeed greater than -13. Therefore, the two comparisons are not equivalent.