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Graphing Linear Inequalities

Learn how to solve systems of linear equations and inequalities through graphing, substitution, and elimination methods with interactive examples and practice exercises. Understand graphing linear equations and inequalities with clear explanations.

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Graphing Linear Inequalities

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  1. Graphing Linear Inequalities

  2. y = ½x + 1 y = -⅔x 2.) y = x + 4 y = 3x 4x - 3y = 11 3x - 5y = -11 1.) y = -½x + 1 y = -5x -1 3.) 2x + y = 8 y = x - 7 x + 2y = 7 3x - 2y = 1 y = 3x - 6 -3x + y = -6 8x - 9y = 19 4x + y = -7 y = 2x - 3 y = -3x + 2 1.) 2.) 3.) 2.) 3.) 1.) Summary: On Solving Linear Systems(Graphing, Substitution, Elimination Methods) Graphing: Substitution Elimination

  3. Graphing linear equation Example 1 y = 2x-3

  4. Graphing linear INEQUALITY Example 2 y < 2x-3

  5. Your Turn! y < x-1

  6. Graphing linear INEQUALITY Example 3 y ≥ 2x-3 Text

  7. System of Linear Equations Two or more linear equations together form a system of linear equations. Your Turn! y ≥ x-1 (2,1)

  8. System of Linear INEQUALITIES Two or more linear inequalities together form a system of linear inequalities. Example 4 y > 2x-3 (2,1) y < x-1

  9. System of Linear INEQUALITIES Two or more linear inequalities together form a system of linear inequalities. Example 5 y < 2x-3 (2,1) y > x-1

  10. Your Turn! (-1,4) y ≤ -4x y > x+5

  11. Your Turn! (-1,4) y ≥ -4x y < x+5

  12. Your Turn again! y > -½x + 2 (-2,3) y ≥ -3x - 3

  13. Your Turn again! y > -½x + 2 (-2,3) y ≥ -3x - 3

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