Question

Solve for x. -ax+3b>5

Answer 1

This is a problem of inequalities. An inequality stands for the relationship between two values when they are different. In this problem, we need to solve for x. So, we have that:

`-ax+3b>5`

Subtracting 3b from each side of the equation, we have:

`-ax+3b \mathbf{-3b}>5 \mathbf{-3b} \\ \\ -ax>5-3b`

Multiplying by
`-(1)/(a)` the direction of the inequality changes if
`a` is greater than zero, so we have that solving for x the result is:

`-(1)/(a)(-ax)<-(1)/(a)(5-3b) \\ \\ x<(3b-5)/(a)`