Question
Is the comparison |12| > |−13| the same as 12 > −13 ?(1 point) Responses No, because they do not compare the same values. No, because they do not compare the same values. Yes, because both statements are equal. Yes, because both statements are equal. No, because 12 > 13. No, because 12 is greater than 13 . No, because 12 < −13.
Answers
GPT-4o mini
The correct response is: **No, because they do not compare the same values.**
Here's the reasoning:
- The expression \( |12| \) calculates the absolute value of 12, which is 12.
- The expression \( |−13| \) calculates the absolute value of -13, which is 13.
- Therefore, the comparison \( |12| > |−13| \) becomes \( 12 > 13 \), which is false.
On the other hand, the comparison \( 12 > −13 \) is true since 12 is indeed greater than -13. Thus, the two comparisons are not the same.
Here's the reasoning:
- The expression \( |12| \) calculates the absolute value of 12, which is 12.
- The expression \( |−13| \) calculates the absolute value of -13, which is 13.
- Therefore, the comparison \( |12| > |−13| \) becomes \( 12 > 13 \), which is false.
On the other hand, the comparison \( 12 > −13 \) is true since 12 is indeed greater than -13. Thus, the two comparisons are not the same.