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# When does absolute /-a/ not equal a?

first year calculus question: Do not fall into the trap of thinking /-a/ = a. For what real numbers a is this equation true? For what real numbers is it false?

An explanation in simple ENGLISH would be greatly appreciated!

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- gaaraLv 49 years agoFavorite Answer
an absolute value is always positive. For example |-a| where a = 1 means the equation = 1 since it cannot be -1. So, if a is negative, it meets the standard. The equation is true for all numbers greater than or equal to zero since an absolute value is always positive, and a is also positive if it is greater than 0. So a is greater than or equal to 0.

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