### Home > CCA2 > Chapter Ch4 > Lesson 4.2.1 > Problem 4-65

Find 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

: 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

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