Question

Solve the inequality. Graph the solution.

$-2>\frac{m}{6}-7$

Answer 1

Step 1 : Solve inequality

We have, $-2>\frac{m}{6}-7$

$\Rightarrow -2+7>\frac{m}{6}-7+7$ [ Add $7$to both sides ]

$\Rightarrow 5>\frac{m}{6}$

$\Rightarrow 5\times 6>\frac{m}{6}\times 6$ [ Multiply both sides by $6$ and reverse the inequality ]

$\therefore 30>m$

Step 2 : Draw the graph

We have,$30>m$

So, the graph is

Hence, the required solution is $30>m$ and the required graph shown as above.