Question

Which statement is true?

Answer 1

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.

Answer 2

A. | -8 | = 8:
      8 < 8  FALSE.

B. | -2 | = 2
     2 > 1    TRUE.

C. | -7 | = 7
     7 = -7   FALSE.

D. | 12 | = 12
     | -15 | = 15
     12 > 15  FALSE.

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