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6-1-6-2-inequalities.ppt

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6-1-6-2-inequalities.ppt

  1. 1. 6.1 6.2 Inequalities > < < > = >
  2. 2. Objective: Solve and graph inequalities
  3. 3. Graphing a linear Equality with one variable….. x = 3 Notice the circle is closed.
  4. 4. Graphing a linear inequality with one variable….. x < 4 Notice the circle is open
  5. 5. Graphing an Inequality with one variable….. x > -3 Notice the circle is closed
  6. 6. p + 6 > 4 - 6 - 6 p > -2 Solving an inequality
  7. 7. Graph x < -3 What numbers make this true? -8, -100
  8. 8. -3 < x - 2 +2 +2 -1 < x Same as x > -1 -1 0 -1 is less than what #’s?
  9. 9. 4x - 3 > x + 6 -x -x 3x - 3 > 6 +3 +3 3x > 9 X > 3
  10. 10. Solve - 4 < 3x + 1 -4 -1 < 3x + 1 - 1 -5 < 3x -5/3 < 3x/3 -5/3 < x
  11. 11. 3 > x same as x < 3 x < 4
  12. 12. Solving a linear Inequality -x < 4 -x/-1 < 4/-1 x -4 > The sign flips when you multiply or divide by a negative.
  13. 13. Solve n > 4 -3 n > 4 -3 (-3) (-3) < n < - 12 Check your answer. -21 < -12 -21 7
  14. 14. 2n + 5 > 0 - 5 -5 2n > -5 __ __ 2 2 n > -5/2
  15. 15. Thought for the day: You can’t run away from your conscience.

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