3x - 2 > 5

1 answer

To solve the inequality \(3x - 2 > 5\), follow these steps:

  1. Add 2 to both sides of the inequality: \[ 3x - 2 + 2 > 5 + 2 \] This simplifies to: \[ 3x > 7 \]

  2. 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: \[ x > \frac{7}{3} \]