Question

Determine which statement is true:

A) |131| = -13
B) 1 - 131 = 13
C) - |-131| = 13
D) -1131 = 13

Answer 1

The correct statement is C) - |-131| = 13, which takes the absolute value of -131, which is 131, and then applies a negative sign to make it -131.

Step-by-step explanation:

The question asks to determine which statement is true concerning absolute values and basic arithmetic operations:

• A) |131| = -13 is false because the absolute value of any number is always non-negative.
• B) 1 - 131 = 13 is also false; if the intention is 1 - |131|, the result would be 1 - 131, which is not equal to 13.
• C) - |-131| = 13 is true; since the absolute value of -131 is 131, placing a negative sign in front of it makes it -131.
• D) -1131 = 13 is false; if the intention is -|131|, then the result would be -131, which is not equal to 13.

Therefore, the correct answer is C) - |-131| = 13.