Question

Solve and graph the following inequality. 6c-12>42

Answer 1

We have the next inequality

$6c-12>42$

And we must solve and graph it.

First, we need to solve the inequality

To solve the inequality we must:

1. Add 12 to both sides

$\begin{gathered} 6c-12+12>42+12 \\ \text{ Simplifying,} \\ 6c>54 \end{gathered}$

2. Divide both sides by 6

$\begin{gathered} \frac{6c}{6}>\frac{54}{6} \\ \text{ Simplifying,} \\ c>9 \end{gathered}$

So, the solution of the inequality is c > 9

Finally, we must graph it

We can see that the solution are all values greater than 9, so the graph would be