Question

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

Answer 1

Answer:

The simplified form of inequality is m > - 4. So, the solution will be the right side of x = - 4 line.  

Step-by-step explanation:

We have to draw the graph of the solution of the given inequality  - 3m + 18 < 30 ......... (1)

Step 1: Simplify the inequality as simple as possible.

-3m + 18 < 30

⇒ - 3m < 12

⇒ m > - 4 {Dividing both sides with - 3 and hence there is the change in inequality sign.}

Step 2: Now, draw the line x = - 4 in the coordinate plane. It will be a vertical line on the coordinate plane and at a distance of 4 units in the negative direction from the y-axis.

Step 3: Now, shade the portion right side of the line (As m > - 4, so the value of m will be greater than - 4)but do not include the line. (Answer)