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Interval Notation Practice

Interval Notation Practice
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2015-11-13 23:04
Coordinate GeometryInequalityGraphing
This example demonstrates interval notation, involving inequalities. Using GeoGebra commands such as Polygon, If, and Segment, users can practice representing given inequality intervals. Suitable for high school math education, this example helps students understand the practical application of interval notation.

GeoGebra Commands & Parameters

  1. Polygon((-10.2, -5000), (-10.2, 5000), (-500, 5000), (-500, -5000)) → LeftWhiteBlocker, a, b, c, d
  2. Polygon((10.4, -5000), (10.4, 5000), (500, 5000), (500, -5000)) → RightWhiteBlocker, e, f, g, h
  3. If(RandomLeftPoint < (-10), (-11, 0), (RandomLeftPoint, 0)) → LeftIntervalPoint
  4. If(RandomRightPoint > 10, (11, 0), (RandomRightPoint, 0)) → RightIntervalPoint
  5. Segment(LeftIntervalPoint, RightIntervalPoint) → IntervalLine
  6. If(RandomLeftPoint < (-10), 0, Random[0, 1] + (0 * j)) → LeftIntervalInclude
  7. If(RandomRightPoint > 10, 0, Random[0, 1] + (0 * j)) → RightIntervalInclude
  8. If(RightGuessValue ≟ (-11) ∨ RightGuessValue ≟ (-10), (-0.67798, -2.3692), If[(RightGuessValue ≥ 0) ∧ (RightGuessValue ≤ 9), (0.3, -2.3692), (0, -2.3692)]) → A
  9. If(LeftSymbol ≟ LeftIntervalInclude ∧ RightSymbol ≟ RightIntervalInclude ∧ (LeftGuessValue ≟ RandomLeftPoint ∨ (RandomLeftPoint < (-10)) ∧ LeftGuessValue ≟ (-11)) ∧ (RightGuessValue ≟ RandomRightPoint ∨ (RandomRightPoint > 10) ∧ RightGuessValue ≟ 11), true, false) → Correct
  10. If(Correct, "Correct!", "Incorrect") → text3
  11. Segment(CenterPoint, (11, 0)) → PositiveAxis
  12. Segment(CenterPoint, (-11, 0)) → NegativeAxis
  13. Segment((-11, 0), (-10, 1)) → TopArrowHeadLeft
  14. Segment((-11, 0), (-10, -1)) → BottomArrowHeadLeft
  15. Segment((11, 0), (10, 1)) → TopArrowHeadRight
  16. Segment((11, 0), (10, -1)) → BottomArrowHeadRight
  17. Segment((11, 0), (10, 1)) → TopArrowHeadRightRed
  18. Segment((11, 0), (10, -1)) → BottomArrowHeadRightRed
  19. Segment((-11, 0), (-10, 1)) → TopArrowHeadLeftRed
  20. Segment((-11, 0), (-10, -1)) → BottomArrowHeadLeftRed