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Mastering Graphing Linear Inequalities in Two Variables

In this lesson, you will learn how to graph linear inequalities in two variables effectively. We'll review key concepts, including the steps to rewrite inequalities in slope-intercept form, graphing the equations, and shading the appropriate areas based on the inequality symbols. You’ll also analyze provided examples to check solutions at specific points, like (0,0) or (2,-1), and practice with partner work and homework assignments. By the end, you’ll confidently handle various linear inequalities and explain your reasoning behind the graphs.

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Mastering Graphing Linear Inequalities in Two Variables

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  1. Warm-Up: Solve and Graph • 1. • 2.

  2. Miss ZeugginNovember 5th 2008Objectives:  graph a linear inequality in two variables Standards: 2.5, 2.8

  3. Chapter 6 Section 5 Graphing Linear In equalities in Two Variables

  4. Inequality Review • Graph the following Inequalities Examples:

  5. Checking Solutions of a Linear Inequality • Is (0,0) a solution of ? • Is (2,-1) a solution of

  6. Graphing Inequalities • STEPS: • Rewrite equation in slope-intercept form y=mx+b • Graph the equation • Choose a point to check • Shade in the correct area • < or > is a dotted line • ≤ or ≥ is a solid line

  7. Examples • 1. Graph the inequality • Step 1: • Graph • Check: Point (-3,0) • Shade:

  8. Examples: • 2. • 3.

  9. Examples: • 4. • 5.

  10. Examples: • 6. • 7.

  11. Examples: • 8. • 4.

  12. Partner Class Work • Kyle and Shay- Page 363 #23, 10 • Tyler and Alyssa- Page 363 #24, 8 • Kevin and Albert- Page 363 #11, 25 • Martin and Mrs. K- Page 363 #12, 26 • Graph the Inequalities and explain your reasoning on how you solved it

  13. Closure • Graph the following • 1. • How Many Answers Should You have for #1? • 2. • How Many Answers Should You have for #2?

  14. Homework • Page 363 #52-60 • Page 384 #1-10, 12, 13

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