Absolute Value Equations

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Jason
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\(|5x - 2| = 4\)

\(5x - 2 = 4\)

\(\dfrac{5x}{5} - \dfrac{2}{5} = \dfrac{4}{5}\)

\(x - \dfrac{2}{5} + \dfrac{2}{5} = \dfrac{4}{5} + \dfrac{2}{5}\)

\(x_{1} = \dfrac{6}{5}\)


\(and\)


\(|5x - 2| = -4\)

\(5x - 2 = -4\)

\(\dfrac{5x}{5} - \dfrac{2}{5} = -\dfrac{4}{5}\)

\(x - \dfrac{2}{5} + \dfrac{2}{5} = -\dfrac{4}{5} + \dfrac{2}{5}\)

\(x_{2} = -\dfrac{2}{5}\)


\(\{-\dfrac{2}{5}, \dfrac{6}{5} \}\)
 

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