asked 26.8k views
3 votes
True or False. The absolute value of a number will

always be greater than the number itself.
Justify your answer. Please

1 Answer

5 votes

Answer: False

Step-by-step explanation:

We can use a counterexample to see why this is false.

|38| = 38

We see that both input and output are the same value, so there's no way it can be larger than itself.

You can pick any positive number you want to set up a counterexample.

Picking negative values won't work to set up a counterexample.

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