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} (6c)/(6)>(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