AI.A-REI.D.12
Graph the solutions of a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set of a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
Example Problems
Marina wants to spend at most $40 on school supplies.
Each binder costs $4.50, and each pack of pencils costs $1.20.
Write an inequality that represents the number of binders () and packs of pencils () she can buy within her budget.
Each binder costs $4.50, and each pack of pencils costs $1.20.
Write an inequality that represents the number of binders () and packs of pencils () she can buy within her budget.
Jordan wants to spend at most at a bakery. Each loaf of bread costs , and each pastry costs .
Write an inequality that represents the number of loaves of bread and pastries Jordan can buy on this budget.
Write an inequality that represents the number of loaves of bread and pastries Jordan can buy on this budget.
Wang Hao wants to spend at most $15 on dairy products.
Each liter of goat milk costs $2.40, and each liter of cow's milk costs $1.20.
Write an inequality that represents the number of liters of goat milk () and cow's milk () Wang Hao can buy on his budget.
Each liter of goat milk costs $2.40, and each liter of cow's milk costs $1.20.
Write an inequality that represents the number of liters of goat milk () and cow's milk () Wang Hao can buy on his budget.
Khan Academy ResourcesGraphing inequalities (x-y plane) reviewTwo-variable inequalities from their graphsGraphs of inequalitiesSystems of inequalities graphsSystems of inequalities word problemsIntro to graphing two-variable inequalitiesGraphing two-variable inequalitiesTwo-variable inequalities from their graphsGraphing systems of inequalitiesIntro to graphing systems of inequalities
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