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

justaguide | Certified Educator

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

Emma | Student

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! (:

Emma | Student

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! (: