9.3 System of Inequalties

9.3 System of Inequalities


Ex:

1. y^2< x+4
2. 3x-4y >12
3. x^2+y^2 >16

Terms:

• solution- an ordered pair that makes the statement true
• solve- find all real solutions
• graph- all the points (x,y) on the xy plane
• equivalent- the same solution
• test point- random point to see where there is a solution                                                            

Guidelines for Sketching Graph of Inequality in x and y

1. replace inequality sign with equal sign
2. graph the resulting equation
3. use dashes if < or >... otherwise use normal line
4. use test point to see where to solutions
5. shade solutions
6. if more than one inequality, use 1-5 for all... all shaded area is the final solution (works in all equations)

The whole chapter is pretty much that easy 

For a blob of pictures http://tutorpartner.blogspot.com/2011/01/systems-of-linear-inequalities-and.html

and just an overall better study guide http://www.purplemath.com/modules/ineqgrph.htm

-Pete