Solve the linear inequality 1/3 x−1>2

.(1 point)

1 answer

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

  1. Add 1 to both sides to isolate the term with \( x \): \[ \frac{1}{3}x > 2 + 1 \] \[ \frac{1}{3}x > 3 \]

  2. Multiply both sides by 3 to eliminate the fraction: \[ x > 3 \cdot 3 \] \[ x > 9 \]

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