Question

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

Answer 1

SOLUTION

We want to solve for x in

$-2x+3b>5$

This becomes

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

Hence the answer is

$x<\frac{5-3b}{-2}$