This is a problem that has to do with absolute value. Absolute value means the distance from that number to 0, on a number line.
a: |-8|<|8|
The distance from both -8 and 8 to zero, is positive 8 steps. So |-8|=8, as well as
|8|=8.
8<8 is incorrect.
c: |-7|=-7
7=-7
This is also incorrect.
d: |12|>|-15|
12>15
This inequality is wrong.
Therefore, the only right equation is choice B.
|-2|>1
2>1
This inequality is correct. Two is larger than one.