Question

Solve the inequality. Graph the solution.

$3d–7d+2.8<5.8–27$

Answer 1

Step 1 : Solve the inequality

We have,

$\Rightarrow 3d–7d+2.8<5.8–27$

$\Rightarrow –4d+2.8<–21.2$ [combine like terms]

$\Rightarrow –4d+2.8–2.8<–21.2–2.8$ [ subtract $2.8$ from both sides ]

$\Rightarrow –4d<–24$

$\Rightarrow \frac{-4d}{-4}>\frac{-24}{-4}$ [ Divide by $-4$both sides and reverse the inequality ]

$\therefore d>6$

Step 2 : Solve the graph

We have,

$\Rightarrow d>6$

So, the graph is

Hence, the required solution of the given inequality is $d\in (6,\infty )$ and the required graph is shown above.