Question

Solve the inequality. Graph the solution.

$3p+2\ge -10$

Answer 1

Step 1: Solve the inequality

We have, $3p+2\ge -10$

$\Rightarrow 3p+2–2\ge -10–2$ [ Subtract $2$ from both sides ]

$\Rightarrow \mathbf{}3p\ge -12$

$\Rightarrow \frac{3p}{3}\ge \frac{-12}{3}$ [ Divide both sides by 3 ]

$\therefore p\ge -4$

Step 2 : Draw the graph of the solution.

We have, $p\ge -4$

So, the graph is

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