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By how much would the value of the following expression change if the absolute value parenthesis is changed to a regular one?: #|2-5|*(1-7)-8#

Answer 1

Everly Taylor

The value increases by #36#

#|2-5|*(1-7)-8#

= #|-3|*(-6)-8#

= #3*(-6)-8#

= #-18-8=-26#

#(2-5)*(1-7)-8#

= #(-3)*(-6)-8#

= #18-8#

= #10#

Therefore, if the parenthesis for the absolute value is changed to a regular one

The value increases by #10-(-26)=36#

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Answer 2

Genesis Amaya

Changing the absolute value parentheses to regular parentheses in the expression ( |2-5| \times (1-7) - 8 ) would not alter the value of the expression, as the absolute value of (2-5) is (|2-5| = |-3| = 3), which remains the same regardless of the type of parentheses used. Therefore, the value of the expression would not change.

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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.