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

We have the next inequality[tex]6c-12>42[/tex]And we must solve and graph it.First, we need to solve the inequalityTo solve the inequality we must:1. Add 12 to both sides[tex]\begin{gathered} 6c-12+12>42+12 \\ \text{ Simplifying,} \\ 6c>54 \end{gathered}[/tex]2. Divide both sides by 6[tex]\begin{gathered} \frac{6c}{6}>\frac{54}{6} \\ \text{ Simplifying,} \\ c>9 \end{gathered}[/tex]So, the solution of the inequality is c > 9Finally, we must graph itWe can see that the solution are all values greater than 9, so the graph would be