Call Now: (800) 537-1660

May 25th

May 25th

# Graphing Systems of Inequalities

You can solve systems of inequalities by graphing. Recall that the graph of an inequality is a half-plane . The intersection of the two half-planes graphed in a system of inequalities represents the solution to the system.

Example

Graph the system of inequalities to find the solution.

x + y 3 and y + 3 x.

Solution

Begin by solving each inequality for y. Then, graph each inequality.

y -x + 3 and y x - 3

The solution to the system includes the ordered pairs in the intersection of the graphs of each inequality. This region is shaded dark gray. Notice that the boundary lines y = -x + 3 and y = x - 3 are included in the solution, since the inequalities contained and symbols.

Free Tutoring
• Get 30 Minutes of FREE Live Tutoring from Tutor.com if you

Testimonials
"I ordered the Algebra Buster late one night when my daughter was having problems in her honors algebra class. After we ordered your software she was able to see step by step how to solve the problems. Algebra Buster definitely saved the day."
Tami Garleff

Home    Why Algebra Buster?    Guarantee    Testimonials    Ordering    FAQ    About Us
What's new?    Resources    Animated demo    Algebra lessons    Bibliography of     textbooks