Determine which property of absolute value justifies the statement.
-$| x | \geq 0$
A) Property 5: the triangle inequality
B) Property 1: the absolute value of a number is positive or 0.
C) Property 1: the absolute value of a number is greater than 0.
D) Property 1: the absolute value of a number is positive.

Question

Quizplus · Accepted Answer

The statement $| x | \geq 0$ directly reflects the definition that the absolute value of any number is either positive or zero, which is correctly described in option B. Absolute values cannot be negative, hence they are always greater than or equal to zero.

Determine Which Property of Absolute Value Justifies the Statement ∣x∣≥0| x | \geq 0∣x∣≥0

Determine Which Property of Absolute Value Justifies the Statement $| x | \geq 0$