Final answer:
The absolute value of 1 is 1, which is greater than -1. Therefore, the correct symbol to complete the sentence '|1| ___ -1' is '>'. Option A is the correct choice.
Step-by-step explanation:
The absolute value of a number is the distance of that number from zero on the number line, regardless of the direction. Therefore, |1| represents the distance of 1 from zero, which is 1. So, |1| is indeed equal to 1, which is greater than -1.
Completing the sentence, we have: |1| > -1. The correct symbol to use is A. > because the absolute value of 1, which is 1, is greater than -1.
So, the answer to the student's question would be selecting option A. >, because |1| equals 1 and 1 is greater than -1.