Question

Solve the inequality. Graph the solution.

$20\ge -3.2(c–4.3)$

Answer 1

Step 1 : Solve the inequality

We have, $20\ge -3.2(c–4.3)$

$\Rightarrow \frac{20}{-3.2}\le \frac{-3.2(c–4.3)}{-3.2}$ [ Divide by $-3.2$both sides and change the inequality ]

$\Rightarrow -6.25\le c-4.3$

$\Rightarrow -6.25+4.3\le (c–4.3)+4.3$ [ Add $4.3$ both sides ]

$\therefore -1.95\le c$

Step 2 : Draw the graph

We have, $-1.95\le c$

So, the graph is

Hence, the required solution of the given inequality is $-1.95\le c$ and the required graph is shown above.