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How do you solve #abs(22-3n)=5#?

Answer 1

Eva Adamson

#n=17/3" and "n=9#

Take away the 'absolute' providing.

#22-3n=+-5#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~ For #" "22-3n=-5#

#3n=22+5 =27#

#=>n=9# '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ For #" "22-3n=+5#

#3n=22-5 = 17#

#n=17/3#

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Answer 2

Ethan Adkins

To solve the equation abs(22 - 3n) = 5, you'll have two cases:

Case 1: 22 - 3n = 5 Case 2: 22 - 3n = -5

For Case 1: 22 - 3n = 5 Subtract 22 from both sides: -3n = 5 - 22 -3n = -17 Divide both sides by -3: n = -17 / -3 n = 17/3 or 5.6667

For Case 2: 22 - 3n = -5 Subtract 22 from both sides: -3n = -5 - 22 -3n = -27 Divide both sides by -3: n = -27 / -3 n = 9

So, the solutions are n = 17/3 (or approximately 5.6667) and n = 9.

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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.