1. Solving Systems of Equations and Inequalities
Chapter 3, Sections 1 & 3

2. Prezi

3. Solving Systems Graphically…
Put all equations in slope-intercept form
Graph each equation
Find the intersection(s)
Solution is an ordered pair (x,y)
On calculator – 2nd trace 5, move cursor to intersection, then press enter 3 times
If you don’t see the intersection on the screen, you have to change the window!!!

4. Examples – Solve and classify the following systems.

5. Systems of Inequalities
A system of linear inequalities is two or more inequalities using the same variables.
To solve a system of inqualities, graph ALL inequalities on the same graph – the solution is the graph!!

6. Solving Systems of Inequalities…
Put all inequalities in slope-intercept form
Graph each inequality
If the inequality is < or >, the line is dotted
If the inequality is ≤ or ≥, the line is solid
Shade the appropriate region
If the inequality is > or ≥, shade above the line
If the inequality is < or ≤, shade below the line
The solution is where the shading of both graphs overlap each other
If the shadings don’t overlap – the answer would be no solution

7. Don’t Forget…. The solution to a system of inequalities is the graph
Although the calculator can graph these for you – you still need to draw the graph on graph paper to help with the next lesson.

8. Examples – Solve the following systems of inequalities.

9. Now it’s your turn… Exit Slip Homework
When you graph a system of inequalities, how can the inequality symbols help you remember whether to use a dashed or solid line?
Homework
Page 14 (1-9)
Page 16 (1-6)