Transcription of STEP 1 STEP 2 - boxcarchallenge.com
1 Graph Linear Inequalities in Two Variables133 KEY CONCEPT For Your NotebookGraphing a Linear InequalityTo graph a linear inequality in two variables, follow these steps: step 1 Graphthe boundary line for the inequality. Use a dashed line for< or > and a solid line for or . step 2 Testa pointnot on the boundary line to determine whether it is asolution of the inequality. If it is a solution, shade the half-planecontaining the point. If it is not a solution, shade the other (a)y 23 and (b)x < 2 in a coordinate plane. the boundary the boundary linex5 a solid line because theUse a dashed line because theinequality symbol is.
2 Inequality symbol is <.Testthe point (0, 0). BecauseTestthe point (0, 0). Because(0, 0) isnot a solution of the(0, 0)is a solution of theinequality, shade the half-planeinequality, shade the half-planethat does not contain (0, 0).that contains (0, 0).EXAMPLE 2 Graph linear inequalities with one variablexy3(0, 0)y 2321xy31(0, 0)x< 2 Graph (a)y >22x and (b) 5x2 2y 24 in a coordinate plane. the boundary the boundary lineUse a dashed line because the5x2 2y524. Use a solid lineinequality symbol is >.because the inequality symbol is .Testthe point (1, 1). BecauseTestthe point (0, 0).
3 Because(1, 1)is a solution of the(0, 0) isnot a solution of theinequality, shade the half-planeinequality, shade the half-planethat contains (1, 1).that does not contain (0, 0).EXAMPLE 3 Graph linear inequalities with two variablesxy12(1, 1)y>2 2xxy3(0, 0)5x2 2y 2423"MHFCSBat ERROR SIt is often convenient touse (0, 0) as a test , if (0, 0) lies onthe boundary line, youmust choose a differenttest point.
