Section 6.6 Day 1 Solving Systems of Inequalities Algebra 1

Learning Targets Solve Systems of Inequalities

Review Problem 1 Graph the inequality 𝑦≤4𝑥−1

Review Problem 2 Graph the inequality 2𝑥−4𝑦<4

Group Work What do you think a system of linear inequalities would look like? What would the solutions of the system of linear inequalities represent? Draw an example of a system of linear inequalities with solutions Draw and example of a system of linear inequalities with no solutions

Problem 1 Graph the system of linear inequalities 𝑦>−2𝑥+1 𝑦≤𝑥+3

Problem 2 Graph the system of linear inequalities 𝑦≤3 𝑥+𝑦≥1

Problem 3 Graph the system of linear inequalities 2𝑥+𝑦≥2 2𝑥+𝑦<4

Problem 4 Graph the system of linear inequalities 𝑥+6𝑦≤2 𝑦≥− 1 6 𝑥+7

Problem 5 Graph the system of linear inequalities 2𝑦≥𝑥 𝑥−3𝑦>−6

Problem 6 Graph the system of linear inequalities 3𝑥−𝑦≥2 3𝑥−𝑦<−5

Exit Ticket for Feedback Graph the system of linear inequalities 𝑦+12𝑥>1 2𝑦−18𝑥≤4