9 − |3x + 4| = 2I need the smaller and larger value

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The equation 9 − |3x + 4| = 2 has to be solved.

9 − |3x + 4| = 2

=> |3x + 4| = 9 - 2

=> |3x + 4| = 7

=> 3x + 4 = 7 and 3x + 4 = -7

=> 3x = 3 and 3x = -11

=> x = 1 and x = -11/3

The solution of 9 − |3x + 4| = 2 is x = 1 and x = -11/3

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Emma | (Level 1) Honors

Posted on

The equation: 9 − |3x + 4| = 2

Note:

  1. Absolute values are a distance from the orgin (ex: |x| = 2; 2 and -2)
  2. Absolute values have 2 answers eccept for 0.
  3. Absolute values can never be negative.

 

How to solve:

  • |3x + 4| = 9+2
  • |3x + 4| = 7
  • 3x + 4 = 7 and 3x + 4 = -7 (substact 4 from both side. substact 4 from 7 & -7).
  • 3x = 3 and 3x = -11 (to get x by itself, divide 3x from 3 & -11)
  • x = 1 and x = -11/3

The solution: x = 1 and x = -11/3 (or -3.7)

 

Good luck! (:

aznangel101's profile pic

Emma | (Level 1) Honors

Posted on

The equation: 9 − |3x + 4| = 2

Note:

  1. Absolute values are a distance from the orgin (ex: |x| = 2; 2 and -2)
  2. Absolute values have 2 answers eccept for 0.
  3. Absolute values can never be negative.
  • |3x + 4| = 9+2
  • |3x + 4| = 7
  • 3x + 4 = 7 and 3x + 4 = -7 (substact 4 from both side. substact 4 from 7 & -7).
  • 3x = 3 and 3x = -11 (to get x by itself, divide 3x from 3 & -11)
  • x = 1 and x = -11/3

The solution: x = 1 and x = -11/3 (or -3.7)

 

Good luck! (:

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