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### Alg II 2-8 Inequalities

• 1. Algebra II Chapter 2 Functions, Equations, and Graphs © Tentinger
• 2. Essential Understanding: Graphing an inequality in two variable is similar to graphing a line. The graph of a linear inequality contains all points on one side of the line and may not include the points on the line.  Objectives:  Students will be able to graph two-variable inequalities
• 3. Algebra  A-CED.2. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.  Functions  F-IF.7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.★
• 4. Linear Inequality: an inequality in two variables whose graph is a region of the coordinate plane bounded by a line known as the boundary line.  The boundary line separates the graph into two half planes, one of which consists of solutions to the inequality.
• 5. To determine where to shade, pick a test point that is not on the boundary line.  If that point satisfies the inequality, shade the half plane that includes the test point.  If that point does not satisfies the inequality, shade the half plane that doesn’t include the test point.
• 6. y ≥ -2x + 1  y < -2x + 1  y – 4 ≥ 2|x – 1|
• 7.
• 8. Pg. 118-119  # 8, 12, 13, 18, 21, 40, 42, 45  (8 problems)
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