# Chapter R - Section R.2 - Real Numbers and Their Properties - R.2 Exercises: 81

False. Corrected: -|a - b| = |a| - |b|, if b $\gt$ a $\gt$ 0

#### Work Step by Step

The statement is false because if b $\gt$ a, then a - b will always be negative. However, an absolute value will always be positive, so they can never be equal. The statement can be corrected by adding a negative sign outside of |a - b| to allow it to equal |a| - |b|.

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