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Question
solve the inequality and graph the solution. 12 > 6c - 12. plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.
Step1: Add 12 to both sides
$12 + 12>6c-12 + 12$
$24>6c$
Step2: Divide both sides by 6
$\frac{24}{6}>\frac{6c}{6}$
$4>c$ or $c < 4$
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The solution of the inequality is $c < 4$. On the number - line, we have an open circle at 4 (since the inequality is strict, $c$ cannot equal 4) and the line extends to the left of 4.