6-5 Linear Inequalities. Problem 1: Identifying Solutions of a Linear Inequality.

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6-5 Linear Inequalities

Problem 1: Identifying Solutions of a Linear Inequality

The graph of a linear inequality in two variables consists of all points in the coordinate plane that represents solutions. The graph is a region called half-plane that is bounded by a line. All points on one side of the boundary line are solutions, while all points on the other side are not solutions

Problem 2: Graphing an Inequality in Two Variables

Problem 3: Graphing a Linear Inequality in One Variable

Problem 4: Rewriting to Graph an Inequality An interior decorator is going to remodel a kitchen. The wall above the stove and the counter is going to be redone as shown. The owners can spend $420 or less. Write a linear inequality and graph the solutions. What are 3 possible prices for the wallpaper and tiles?

For a party, you can spend no more than $12 on nuts. Peanuts cost $2/lb. Cashews cost $4/lb. What are three possible combinations of peanuts and cashews you can buy?

Problem 5: Writing an Inequality From a Graph What is the inequality that represents the graph?