1. Systems of Linear Inequalities 7.6

2. System of Linear Inequalities Two or more linear inequalities in the same variables.  X - y > 7  2x + y < 8 Solution: an ordered pair that satisfies both inequalities

3. Graphing The graph of a system of inequalities is the graph of all the solutions of the inequalities.

4. How to graph Step 1: Graph each inequality Step 2: Find the intersection of the shaded regions. All possible solutions in dark blue!

5. examples  Y > -x – 2  Y ≤ 3x + 3  Y < 3x  Y ≥ -2x + 1  Y < x – 4  Y ≥ -x + 3

6. Three inequalities  Y ≥ -1  X > -2  X + 2y ≤ 4

7. Hooray! Word Problem The NCAA states that the length (in) of the bat minus the weight (oz) of the bat cannot exceed 3. Bats can be purchased at lengths from 26 to 34 inches. x – y ≤ 3 x ≥ 26 x ≤ 34 y ≥ 0