Determine which property of absolute value justifies the statement.
-$| - x | = | x |$
A) Property 2: the opposite of the absolute value of a number is equal to the absolute value of the number.
B) Property 5: the triangle inequality
C) Property 2: the absolute value of a number and its opposite are equal.
D) Property 1: the opposite of a number is equal to the absolute value of the number .

Question

Quizplus · Accepted Answer

The statement $| - x | = | x |$ demonstrates that the absolute value of a number and its opposite are equal, which is correctly described by option C.

Determine Which Property of Absolute Value Justifies the Statement ∣−x∣=∣x∣| - x | = | x |∣−x∣=∣x∣

Determine Which Property of Absolute Value Justifies the Statement $| - x | = | x |$