Graphing Calculator Graphing Substitution Elimination Matrix One solutions

Graphing Calculator

�Graphing �Substitution �Elimination �Matrix

� One solutions � No solutions � Infinite many � When? How do you know?

� Two or more inequalities equations � Example: � 2 x – 3 y < 6 �Y = ½ x - 3

� Graphing � Calculator

� 1. Solve for y � 2. Remember the sign � ≥ solid, above � ≤ solid, below � > dashed, above � < dashed, below � 3. Graph each line and shade � 4. Any point in the double shaded region is a solution to the system of inequalities � Solutions is where they overlapping. This is called a feasible region

� The SAT has two parts, math and verbal. The maximum score is 1600. For admission to the school of your choice, you need at least a 600 in math. Write a system of inequalities to model the situation.

�A psychologist needs at least 40 subjects for her experiment. She cannot use more than 30 children. Write a system of inequalities to model the situation.

� Suppose you are buying two kinds of notebooks for school. A spiral notebook costs $2, and a three-ring notebook costs $5. You must have at least six notebooks. The cost of the notebooks can be no more than $20. Write a system of inequalities to model the situation.

�A camp counselor needs not more than 30 campers to sign up for two mountain hikes. The counselor needs at least 10 campers on the low trail and at least 5 campers on the high trail. Write a system of inequalities to model the situation.