Question

Solve the inequality. Graph the solution.

$-3x\ge 18$

Answer 1

Step 1 : solve the inequality

We have, $-3x\ge 18$

$$\begin{gathered} \Rightarrow \frac{-3x}{-3}\le \frac{18}{-3} \\ \therefore x\le -6 \end{gathered}$$ [ Divide both sides by $-3$ and reverse the inequality ]

Step 2 : Graph the solution

We have, $x\le -6$

So, the graph is

Hence, the solution of the inequality is $x\le -6$ and graph of the solution is shown above.