solve inequalities and graph

Question

please help me to solve inequalities and graph the solution set

 

-15c+28>133 solve and graph on the graph line

Answer 1

-15c + 28 > 133

 

-15c > 133 - 28

 

-15c > 105

 

c < -7

 

<------------------------ο-------------------------->

                               -7

 

In case it's not clear from the sketch, everything to the left of the point -7 should be shaded. The circle at -7 should be open because it is a "less than" inequality. If it were "less than or equal to," then the circle would be filled in.