### Home > INT3 > Chapter 3 > Lesson 3.2.1 > Problem 3-74

What are the boundary points for each of the following inequalities? Draw the boundaries on a number line and shade the solution regions.

Solve for

to find the boundary point(s).

Since

, ploton a number line.

Sincemakes the inequality true, shade the point. Test a point on either side of the boundary point in the original inequality and decide if you get a true or false statement.

If you choose

:True If you choose

:False Shade the points that are on the true side, to the right of

.

Solve for

to find the boundary point(s).Plot the boundary points on a number line. Since the points do not make the inequality true, do not shade them.

Test a point between the boundary points in the original inequality. Decide if the simplified statement is true or false.

If you choose

:True Shade the points between the boundary points, the true region.