Q:

In two or more complete sentences, describe how you would draw the graph of the solution set for the following inequality. -3m+18 < 30

Accepted Solution

A:
First find the value of m by solving the inequality.Solving the inequality we get value of m: m>-4Now, for drawing the graph, a dotted line will be on -4, as values greater than -4 are included in the graph. and all the portion on right side of -4 is included in the graph.Step-by-step explanation:We need to draw the graph of the solution set for the following inequality. [tex]-3m+18 < 30[/tex]First we will solve the inequality and find value of m[tex]-3m+18 < 30[/tex]Adding -18 on both sides[tex]-3m+18-18 < 30-18\\-3m<12[/tex]Dividing both sides by -3 and reversing the inequality i.e < is changed into >[tex]\frac{-3m}{-3}<\frac{12}{-3}\\m>-4[/tex]So, value of m is: m>-4So. for drawing the graph, a dotted line will be on -4, as values greater than -4 are included in the graph. and all the portion on right side of -4 is included in the graph.The graph is shown in figure attached.Keywords: Solving inequalities Learn more about Solving inequalities at: brainly.com/question/6703816 brainly.com/question/11788572 brainly.com/question/4192226 #learnwithBrainly