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Olegator [25]
4 years ago
10

Solve inequality. |3n-2|-2<1

Mathematics
1 answer:
pychu [463]4 years ago
8 0

\text{Hello there! :)}

\boxed{-1/3 < n < 5/3}

|3n - 2| - 2 < 1

\text{Begin simplifying by adding 2 to both sides:}

|3n - 2| < 3

\text{ Solve for the positive and negative solutions:}

3n - 2 < 3\\\\3n < 5\\\\n < 5/3

-(3n - 2) < 3\\\\\text{Switch sign when dividing by a negative:}\\\\3n - 2 > - 3\\\\3n > - 1\\\\n > -1/3

\text{Therefore, the solutions for the inequality are:}\\\\-1/3 < n < 5/3

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