lopeznoel15p7a7qe lopeznoel15p7a7qe
  • 16-04-2018
  • Mathematics
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Solve for |4x+3| < 9

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mkryukova19 mkryukova19
  • 16-04-2018
Under the absolute value could be positive or negative number, but absolute value make them both positive.
For positive number we can write is (4x+3) and for negative  -(4x+3)
 4x+3<9
4x< 6
x< 3/2    (-∞, 3/2)

 -(4x+3)<9
-4x-12<9
-4x<21
x>-21/4        (-21/4, +∞)

 (-∞, 3/2)∩  (-21/4, +∞) =(-21/4, 3/2) it could be written as (-5.25,  1.5)

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