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Mastering Graphing Linear Inequalities & Quadratic Solutions

Learn how to graph linear inequalities using boundary lines and solve quadratic inequalities with ease. Understand when to use solid or dotted lines, shade above or below the parabola, and determine solutions accurately.

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Mastering Graphing Linear Inequalities & Quadratic Solutions

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  1. Review/Preview (Unit 1A) #5

  2. Let’s review graphing linear inequalities

  3. Boundary lines y x y x If the inequality is ≤ or ≥ , the boundary line is solid;its points are solutions. Example: The boundary line of the solution set ofy≤ 3x - 2 is solid. If the inequality is < or >, the boundary line is dotted; its points are not solutions. Example: The boundary line of the solution set ofy< - x + 2is dotted.

  4. Quadratic InequalitiesEQ: How do we determine solutions of and graph quadratic inequalities? M2 Unit 1B: Day 6 M2 Unit 1B: Day 6

  5. Determine if the point is a solution to the quadratic inequality 3 < -11 (2, 3) is NOT a solution!

  6. Determine if the point is a solution to the quadratic inequality (0,-2) is a solution!

  7. Quadratic Inequalities Dashed parabola Shade below vertex Solid parabola Shade below vertex Dashed parabola Shade above vertex Solid parabola Shade above vertex

  8. Steps to graph quadratic inequalities • Determine if dashed or solid • Graph parabola • Shade above or below the parabola (vertex)

  9. Graph the quadratic using the axis of symmetry and vertex. Vertex: Y-intercept: One more point: Since ≥ the parabola is solid! Since ≥ shade inside!

  10. Graph the quadratic using the axis of symmetry and vertex. Vertex: Y-intercept: One more point: Since > the parabola is dashed! Since > shade inside!

  11. Graph the quadratic using the axis of symmetry and vertex. Vertex: Y-intercept: One more point: Since < the parabola is dashed! Since < shade outside!

  12. Graph the quadratic using the axis of symmetry and vertex. Vertex: Y-intercept: One more point: Since ≤ the parabola is solid! Since ≤ shade outside!

  13. Homework: Pg 98 (#1-10 all, 12-18 even) 14 problems THE END

  14. Review/Preview (Unit 1A) #6 *This goes with day 8 1. Solve: 2. Solve: 3. Write the expression as a complex number in standard form 4. Write the expression as a complex number in standard form 5. Write the complex number in standard form:

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