Solve the linear inequality 1/3x−1>2 .(1 point)

Answer 1

To solve the inequality \( \frac{1}{3}x - 1 > 2 \), follow these steps:

1. Add 1 to both sides: \[ \frac{1}{3}x - 1 + 1 > 2 + 1 \] This simplifies to: \[ \frac{1}{3}x > 3 \]

2. Multiply both sides by 3 to eliminate the fraction (note: since we are multiplying by a positive number, the direction of the inequality does not change): \[ 3 \cdot \frac{1}{3}x > 3 \cdot 3 \] This simplifies to: \[ x > 9 \]

So, the solution to the inequality is: \[ x > 9 \]