Solve the linear inequality 14x−2<−1

To solve the linear inequality 14x - 2 < -1, we can start by adding 2 to both sides to get rid of the constant term:

14x - 2 + 2 < -1 + 2
14x < 1

Next, we can divide both sides by 14 to solve for x:

(14x)/14 < 1/14
x < 1/14

So the solution to the linear inequality is x < 1/14.