Question

Evaluate the following.
||-2|-|3-12||

Answer 1

I believe 7, because |-2|=2 and |3-12|=9
then |2-9| would be positive 7

Answer 2

7

Explanation:

You want the value of the expression ||-2|-|3-12||.

Evaluation

Inner groups are evaluated first:

||-2|-|3-12|| = |2 -|-9||

= |2 -9|

= |-7| = 7

The value of the expression is 7.

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Additional comment

The absolute value function changes negative signs to positive:

|-2| = 2

It has no effect on positive signs.

|2| = 2