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How do you solve # abs(8 - 6c ) = 1#?

Answer 1

Ethan Adkins

#7/6<=c<=3/2#

The given equation is equivalent to:

#-1<=8-6c<=1#

Let's subtract 8 and get:

#-9<=-6c<=-7#

then change signs and inequality:

#7<=6c<=9#

and divide all terms by 6:

#7/6<=c<=cancel9^3/cancel6^2#

#7/6<=c<=3/2#

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Answer 2

Julia Adams

To solve |8 - 6c| = 1, set the expression inside the absolute value equal to both the positive and negative values of the number on the other side of the equation. Then, solve for c in each equation separately.

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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.