The constants a, b, c are positive. Solve the inequality for x.

a>-bx+c

x > (c - a) / b

Step-by-step explanation:

a > - bx + c

We need to make x the subject of the inequality so, first remove c from the right hand side of the inequality by adding - c to both sides. So,

a - c > - bx

Now, we need to remove - b from the right hand side. So, we will divide both sides of the inequality with - b. Multiplying the inequality with a negative number will also change the sign of the inequality. So,

- (a-c) / b < x

x > (c - a) / b