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How do you solve #| 5- | - 10| |#?

Answer 1

Nathan Axel

See the entire solution process below:

We deal with the inner absolute value function first:

#abs(5 - color(red)(abs(-10))) = abs(5 - 10)#

The remainder of the expression can now be solved:

#abs(-5) = 5#

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Answer 2

Genesis Allen

To solve the expression ( |5 - |-10|| ), first, we evaluate the expression inside the inner absolute value:

[ |-10| = 10 ]

Then, we substitute this value back into the original expression:

[ |5 - 10| = |-5| = 5 ]

So, ( |5 - |-10|| = 5 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.