Question

Solve the inequality. Graph the solution.

$-6z\ge 36$

Answer 1

Step 1 : Solve the inequality

We have, $-6z\ge 36$

$\Rightarrow \frac{-6z}{-6}\le \frac{36}{-6}$ [ Divide both sides by $-6$ and reverse the sign of inequality ]

$\therefore z\le -6$

Step 2 : Draw the graph

We have, $z\le -6$

So, the graph is

Hence, the required solution is $z\le -6$ and the required graph is shown above.