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Unformatted text preview: 5-1 Graphing systems of linear inequalities GRAPHINGASINGLEINEQUALITYGiven:inequality 3x + y < 9Note: (1, 2) satisfies it, (3, 1) does not satisfy itObjective:show (on a coordinate system) all points (x, y) that satisfy itSteps:1. GRAPH:graph the equation3x + y =9(a) all the points on one side orthe other side of the line satisfy the equation. As for the line itself:(b) if the inequality is strict(< or >)the line itself will not be includedin the solution set. Indicate this by drawing the line as a dashed line.(c) if the inequality is non-strict(≤or ≥)the line is included. Draw as a solid line.2. TESTPOINT:pick any point not on the line. (0, 0) is best (if it is not on the line). Otherwise pick (0,1) (or whatever). Substitute the test point in the inequality.3. SHADE: (a)if the test point satisfies the inequality:shade thesame sideof the line as the test point(b)if the test point does not satisfy the inequality:shade the other sideof the line Tip: you can do it without writing anything down except the solution!...
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This note was uploaded on 12/11/2011 for the course MATH 1324 taught by Professor Staff during the Spring '11 term at Austin Community College.
- Spring '11