Question

Solve for x in the equation −2x + 3b > 5

Answer 1

We want to solve for x in

`-2x+3b>5`

This becomes

`\begin{gathered} -2x+3b>5 \\ -2x>5-3b \\ \text{divide both sides by -2, and the inequality reverses, we have } \\ (-2x)/(-2)<(5-3b)/(-2) \\ x<(5-3b)/(-2) \end{gathered}`

Hence the answer is

`x<(5-3b)/(-2)`