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4-|x|=1 solve absolute value

Sagot :

[tex]\\ \rm\longmapsto 4-|x|=1[/tex]

  • Take 4 right

[tex]\\ \rm\longmapsto -|x|=1-4[/tex]

[tex]\\ \rm\longmapsto -|x|=-3[/tex]

[tex]\\ \rm\longmapsto |x|=3[/tex]

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Step-by-step 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.

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