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
, plot on 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.