solve the linear inequality 1/3x - 1 >2

1 answer

To solve the linear inequality 1/3x - 1 > 2, we can follow these steps:

1. Add 1 to both sides of the inequality to isolate the fraction:
1/3x - 1 + 1 > 2 + 1
1/3x > 3

2. Multiply both sides of the inequality by 3 to eliminate the fraction:
3 * (1/3x) > 3 * 3
x > 9

Therefore, the solution to the inequality 1/3x - 1 > 2 is x > 9.