Graphing Linear Inequalities

a

To check whether the point

(- 1, 4)

is a solution of the inequality shown on the graph or not, let's plot this point and check whether it lies in the shaded area.

As we can see, the point lies within the shaded area, so it is a solution to this inequality.

b

We'll plot the point

(2, 2)

in the coordinate plane to see if it lies in the shaded area.

At first glance one might think that this point is within the solution set. However, because it lies on the dashed line, and the dashed line is not included in the inequality, it's not a solution.

c

Once again, we plot the point in the same coordinate plane as the inequality.

As we can see, the point does not lie within the shaded area, so it is not a solution to this inequality.

Graphing Linear Inequalities 1.1 - Solution