This document provides instructions on how to graph systems of linear inequalities. It explains that to solve a system of inequalities, you isolate the variables in each inequality, determine the slope and y-intercept of each line, graph the first line and shade the area it describes, graph and shade the second line, and the solution is the area that is shaded in both inequalities. It includes three examples of solving systems of inequalities by graphing and assigns homework problems from the textbook.

1. Algebra 1
7.6 Graphing Systems of Linear Inequalities
Bellringer Notes:
What do you know about What do you want to learn What have you learned
systems of inequalities? about systems of about systems of
inequalities? inequalities? (answer at the
end of class)
Solving Systems of Inequalities
1. ____________________________ both equations for y.
• _______________________ the slope and y-intercept for each inequality.
2. Graph the first __________________________ line.
• _______________________ the area described by the inequality.
3. Graph and shade the second inequality.
4. The solution is the area ______________________________________________.
EX2: Solve the system by graphing.
y < 3ξ + 1
ξ − 2 ψ> 4

2. EX2: Solve the system by graphing.
y<2
ξ ≥ −1
ψ> ξ − 2
EX3: Solve the system by graphing.
x≥0
− ξ + 3 ψ≤ 6
ψ> ξ
HW p. 435 (12 – 26 even)