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# Solve the equation |3x-2|>4 # Solve the equation |3x-2|>4

Question
Equations and inequalities asked 2021-04-19
Solve the equation $$\displaystyle{\left|{3}{x}-{2}\right|}{>}{4}$$

## Answers (1) 2021-04-21

Rewrite as to inequalities:
3x-2<-4 or 4x-2>4
Add 2 to both sides of the equation:
3x<-2 or 3x>6
Divide both sides of the equation by 3:
$$\displaystyle{x}{<}-{\frac{{{2}}}{{{3}}}}$$ or x>2

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