Question

Solve the linear inequality 1/3x - 1 > 2,

x < 7

x < 9

x > 9

x > 7

Answer 1

To solve the linear inequality 1/3x - 1 > 2, we can isolate the variable x by adding 1 to both sides:

1/3x - 1 + 1 > 2 + 1

1/3x > 3

Next, we can multiply both sides of the inequality by 3 to eliminate the fraction:

(1/3)x * 3 > 3 * 3

x > 9

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