Question

Solve the inequality. Graph the solution.

$-0.6>-0.3(d+6)$

Answer 1

Step 1 : Solve the inequality

We have,

$\Rightarrow -0.6>-0.3(d+6)$

$\Rightarrow \frac{-0.6}{-0.3}<\frac{-0.3(d+6)}{-0.3}$ [ Divide both sides by $-0.3$ and reverse the sign of inequality ]

$\Rightarrow 2<(d+6)$

$\Rightarrow 2–6<(d+6)–6$ [ Subtract$6$ from both sides ]

$\therefore –4<d$

Step 2 : Draw the graph

We have, $–4<d$

So, the graph is

Hence, the required solution is $–4<d$ and the required graph is shown above.