Question

Solve the inequality. Graph the solution.

$2>8–\frac{4}{3}h$

Answer 1

Step 1: Solve the inequality

We have, $2>8–\frac{4}{3}h$

$\Rightarrow 2–8>8–8–\frac{4}{3}h$ [ Subtract $8$from both sides ]

$\Rightarrow –6>–\frac{4}{3}h$

$\Rightarrow –6\times \frac{-3}{4}<\frac{-4}{3}h\times \frac{-3}{4}$ [ Multiply both sides by $\frac{-3}{4}$ and reverse the inequality ]

$\Rightarrow \frac{9}{2}<h$

$\therefore 4.5<h$

Step 2 : Draw the graph

We have, $4.5<h$

So, the graph is

Hence, the required solution of the given inequality is $4.5<h$ and the required graph is shown above.