Question

Solve the inequality. Graph the solution.

$-\frac{1}{4}d+1<2$

Answer 1

Step 1 : Solve the inequality

We have, $-\frac{1}{4}(d+1)<2$

$\Rightarrow -\frac{1}{4}(d+1)\times (-4)>2\times (-4)$ [ Multiply $-4$ both sides and change the inequality ]

$\Rightarrow d+1>-8$

$\Rightarrow d+1–1>-8–1$ [ Subtract $1$ from both sides ]

$\therefore d>-9$

Step 2 : Draw the graph

We have, $d>-9$

So, the graph is

Hence, the required solution of the inequality is $d>-9$ and the required graph is shown above.