Question

Saw the system of two linear inequalities graphically. Graph the solution set of the first linear inequality. Choose the type of boundary line? Find the two points on the boundary line? Select the region to be shaded?

Answer 1

dashed

(-4, 0) and (0, -10)

region B will be shaded

Step-by-step explanation:

We are asked to graph the 1st solution set which is:

`5x\text{ + 2y }<\text{ - 20}`

The inequality doesnot have an equal sign attached to it. So, the line will be dashed

Plottimg the graph of the inequality:

The two points on the boundary will fall in the shaded part of the graph.

We can pick any two points on the dased line:

(-4, 0) and (0, -10)

The shaded part in our graph of the inequality corresponds to B in the question

Hence, region B will be shaded