Question

Solve the inequality. Graph the solution.

$-1.3\ge 2.9–0.6r$

Answer 1

Step 1 : Solve inequality

We have, $-1.3\ge 2.9–0.6r$

$\Rightarrow -1.3–2.9\ge 2.9–0.6r–2.9$ [ Subtract $2.9$from both sides ]

$\Rightarrow -4.2\ge –0.6r$

$\Rightarrow \frac{-4.2}{-0.6}\le \frac{-0.6r}{-0.6}$ [ Divide both sides by $-0.6$ and reverse the inequality ]

$\therefore 7\le r$

Step 2 : Solve the graph

We have, $7\le r$

So, the graph is

Hence, the required solution of the given inequality is $7⩽r$ and the required graph is shown above.