Question

Solve the inequality. Graph the solution.

$-1.2b-5.3\ge 1.9$

Answer 1

Step 1 : Solve inequality

We have, $-1.2b-5.3\ge 1.9$

$\Rightarrow -1.2b-5.3+5.3\ge 1.9+5.3$ [ Add $5.3$ to both sides ]

$$\begin{gathered} \Rightarrow -1.2b\ge 1.9+5.3 \\ \Rightarrow -1.2b\ge 7.2 \end{gathered}$$

$\Rightarrow \frac{-1.2b}{-1.2}\le \frac{7.2}{1.2}$ [ Divide both sides by $-1.2$ and reverse the inequality ]

$\therefore b\le -6$

Step 2 : Draw the graph

We have, $b\le -6$

So, the graph is

Hence, the required solution of the given inequality is $b\le -6$ and the required graph is shown above.