To solve the inequality \(3x - 2 > 5\), follow these steps:
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Add 2 to both sides of the inequality: \[ 3x - 2 + 2 > 5 + 2 \] This simplifies to: \[ 3x > 7 \]
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Now, divide both sides by 3: \[ \frac{3x}{3} > \frac{7}{3} \] This simplifies to: \[ x > \frac{7}{3} \]
So the solution to the inequality is: \[ x > \frac{7}{3} \]