We have the following:
Solving an inequality by means of multiplication and division is the same as an equation except when negative number handled, since when this happens the sing of < or > is reversed.
For example:
[tex]\begin{gathered} ax\ge b \\ \frac{ax}{a}\ge\frac{b}{a} \\ x\ge\frac{b}{a} \\ -ax\ge b \\ \frac{-ax}{-a}\ge\frac{b}{-a} \\ x\leq-\frac{b}{a} \end{gathered}[/tex]It can be seen that the case of negative changes from => to <=
