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allielm01 allielm01
  • 25-08-2016
  • Mathematics
Answered

how do you solve this absolute value equatuon? 4|x - 1| - 7 = -3

Is it A. x = 1 1/4 or x = 2

Bx = 2 or x = 0

or C. x = 1 1/4 or x = 2 3/4

& why?

Please & thank you.

Verified Answer :

dalendrk
dalendrk dalendrk
  • 02-09-2016

4|x - 1| - 7 = -3    |add 7 to both sides

4|x - 1| = 4    |divide both sides by 4

|x - 1| = 1 ⇔ x - 1 = 1 or x - 1 = -1    |add 1 to both sides

x = 2 or x = 0

Answer: B.

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