Question

Solve the inequality. Graph the solution.

$9x–4x+4\ge 36–12$

Answer 1

Step 1 : Solve the inequality

We have,

$\Rightarrow 9x–4x+4\ge 36–12$

$\Rightarrow 5x+4\ge 24$

$\Rightarrow 5x+4–4\ge 24–4$ [ Subtract $4$ from both sides ]

$\Rightarrow 5x\ge 20$

$\Rightarrow \frac{5x}{5}\ge \frac{20}{5}$ [ Divide by $5$both sides ]

$\therefore x\ge 4$

Step 2 : Draw the graph

We have, $x\ge 4$

So, the graph is

Hence, the required solution of the given inequality is $x\ge 4$ and the required graph is shown above.