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

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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**

The equation: 9 − |3x + 4| = 2* *

*Note: *

- Absolute values are a distance from the orgin (ex: |x| = 2;
**2 and -2**) - Absolute values have 2 answers eccept for 0.
- 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! (:

The equation: 9 − |3x + 4| = 2* *

*Note: *

- Absolute values are a distance from the orgin (ex: |x| = 2;
**2 and -2**) - Absolute values have 2 answers eccept for 0.
- 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! (: