Lesson 5: 1-5 Graphing Linear Inequalities

How are the solutions of an inequality in two variables different from the solutions of an inequality in one variable?
Suppose you graph the solutions set of an inequality in two variables but change the inequality symbol from > to >=, how will your graph change? What if you change it from >to <?
How can you check if you graph is correct?

linear inequality
boundary
constraint

A.CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities and interpret solutions as viable or nonviable options in a modeling context

SAT questions related to slope: 8-3-13,6-3-1,5-4-7,8-3-19,7-4-17,1-3-6,3-4-8; systems: 4-3-16,1-3-18,1-3-9,2-3-2,8-3-18,6-4-11,7-3-3,1-3-11,7-4-11,1-4-19,8-3-10,2-4-29,2-3-20,3-3-9; writing equations: 5-4-11,4-3-8,8-4-7,1-3-12,7-3-19; inequalities: 5-4-13,7-4-5,4-4-19,8-3-6,1-4-28,5-3-7,6-3-14; graphing: 6-3-5; total unit: 2-3-9

The solution set of a linear inequality in two variables is the set of all orders pairs that satisfy the inequality. The solution set can be represented as a region of the coordinate plane.

Randy is planning to treat his lacrosse team to a pizza party after the championship game, but he does not want to spend more than $200. Randy can use the inequality 11p+2.25 d<=200 where p represents the number of pizzas and d represents the number of soft drinks, to check whether certain combinations of pizzas and drinks will fall within his budget.

In exercise 27, students must decide which graph is shaded correctly. Tell students to solve the inequality for y before deciding who is correct.

If students are confused with equations and inequalities, have them discuss the differences and similarities between solving an equation and solving an inequality.

Use McGraw Hill Resources

Use McGraw Hill Resources