In two or more complete sentences, describe how you would draw the graph of the solution set for the following inequality. -3m+1

Question

andre [41]

3 years ago

11

In two or more complete sentences, describe how you would draw the graph of the solution set for the following inequality. -3m+1

8 < 30

Mathematics

1 answer:

Marat540 [252] · Answer 1 · 2022-01-07T08:55:45+03:00

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

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

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

$\frac{-3m}{-3}-4$

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

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