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Published byChrystal Brown Modified over 8 years ago

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Fri 10/2 Lesson 2 – 8 Learning Objective: To graph two variable inequalities Hw: Pg. 118 #8 – 17, 39 – 41, *46

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Algebra II

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To graph two variable inequalities

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Linear Inequality – an inequality in two variables (x & y) whose graph is the region of the coordinate plane bounded (stopped) by a line Boundary – line that bounds the graph of a linear inequality

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Test Point – a point not on the boundary. Use it to check whether the point satisfies the inequality. Usually (0, 0) If it satisfies the inequality, shade the side of the line containing that point If it does not satisfy the inequality, shade the other side of the line that does not contain the point.

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1. y > 3x – 1 dotted line! Check (0, 0) 0 > 3(0) – 1 0 > 0 – 1 0 > -1TRUE! Shade side with (0, 0)

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3. y < -x + 3 dotted line Shade below Check (0, 0) 0 < -0 + 3 0 < 0 + 3 0 < 3TRUE! Shade side with (0, 0)

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When you graph an inequality, you can often use the point (0, 0) to test which side of the boundary to shade. Describe a situation in which you could not use (0, 0) as a test point.

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