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2 votes
2 votes
4-|x|=1 solve absolute value

User Sujan Thakare
by
2.6k points

2 Answers

13 votes
13 votes

Explanation:

  • 4-|x|=1

By subtracting 4 from both sides, we get

  • 4-|x|-4=1-4
  • -|x|=-3

Here for cancelling minus we can multiply or divide both sides by -1,

  • -|x|×-1=-3×-1
  • |x|=3

Or,

  • -|x|÷-1=-3÷-1
  • |x|=3

Hence the value of |x| is 3.

User Jacquetta
by
2.4k points
15 votes
15 votes


\\ \rm\longmapsto 4-|x|=1

  • Take 4 right


\\ \rm\longmapsto -|x|=1-4


\\ \rm\longmapsto -|x|=-3


\\ \rm\longmapsto |x|=3

User Felix Grossmann
by
2.8k points