9.4( One ) - 9.4 Linear Inegualities in Two Variables and...

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Unformatted text preview: 9.4 Linear Inegualities in Two Variables and Systems of Linear Inegualities Linear inequality in two variables - Can be written in one of the forms _‘ I A I 1/ lg . itLLL. Claudia Ax + By < C Ax + By s C / AX+By>CAX+By2C / / z" - A, B, and C are real numbers, A and B are not both 0. An ordered pair is a solution of the linear inequality Graph a Linear Inequality in Two Variables 1)Graph the boundary line found by replacing the inequality sign with an equal sign. If the inequality sign is > or <, graph a dashed boundary line (indicating that the points on the line are not solutions of the inequality). If the inequality sign is 2 or s, graph a solid boundary line (indicating that the points on the line are solutions of the inequality). 2)Choose a point, not on the boundary line, as a test point. Substitute into the original inequality. 3)If a true statement is obtained in Step 2, shade the half-plane that contains the test point. If a false statement is obtained, shade the half-plane that does not contain the test point. Graph 7X + y > -—14 >_?+X‘-'Lf L. m . Graph 3X + By s --2 53 6 ~3X’1 3 4.. :ELx “#3: 5" b N {1/5” 3 Hefni'wp’r (0' > / ,,_ ,2 Ni - /5' “ *r $10!”: *; R956 5 RUUY) Lori) .3; pa- 3 “fizus [U’ 3[\)+6(I)_€-?—- IL - 3" 6 5 ‘9" , <3 5-. —2 “Font ‘ w; WEE-ax Graph 3X < 15 (flip fl ...
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This note was uploaded on 01/16/2012 for the course MATH 096 taught by Professor Jimcotter during the Fall '11 term at Truckee Meadows Community College.

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9.4( One ) - 9.4 Linear Inegualities in Two Variables and...

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