Decide whether the statement is true or false. If false, correct the statement so it is true.
-$$| 6 - 12 | = | 6 | - | 12 |$$
A) True
B) False; $| 6 - 12 | = | 12 | - | 6 |$

Question

Quizplus · Accepted Answer

The correct statement is $| 6 - 12 | = 6$, which is equal to $| -6 | = 6$, not $| 12 | - | 6 |$. The original equation is false because the absolute value of a difference is not equal to the difference of the absolute values.

Decide Whether the Statement Is True or False ∣6−12∣=∣6∣−∣12∣| 6 - 12 | = | 6 | - | 12 |∣6−12∣=∣6∣−∣12∣

Decide Whether the Statement Is True or False $| 6 - 12 | = | 6 | - | 12 |$