Question

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

Answer 1

First find the value of m by solving the inequality.

Solving the inequality we get value of m: m>-4

Now, 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. $-3m+18 < 30$

First we will solve the inequality and find value of m

$-3m+18 < 30$

Adding -18 on both sides

$-3m+18-18 < 30-18\\-3m<12$

Dividing both sides by -3 and reversing the inequality i.e < is changed into >

$\frac{-3m}{-3}<\frac{12}{-3}\\m>-4$

So, value of m is: m>-4

So. 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
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• brainly.com/question/4192226

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Answer 2

Answer:

First find the value of m by solving the inequality.

Solving the inequality we get value of m: m>-4

Now, 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: