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What is the solution set for #abs(x – 6) = 4#?

Answer 1

With abosutes there are (usually) two solutions

(1) #x>=6->x-6>=0# the brackets don't have to do their work: #->x-6=4->x=10# (2) #x<6->x-6<0# the brackets flip the sign: #-(x-6)=4->-x+6=4->x=2#

Answer: #x=2or x=10#

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Answer 2

Abigail Allen

The solution set for the equation |x - 6| = 4 is {2, 10}.

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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.

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