How to Use Venn Diagrams to Find the Missing Sets

Venn diagrams were created by John Venn to allow people to see relationships between different objects within two circles. In a Venn diagram, two circles are overlapped, typically within a rectangle to show which features the circles have in common and which ones are unique to each circle. Anything outside the overlap relates only to the circle, while anything inside the overlap relates to both circles.

Things You'll Need

  • Pencil
  • Paper
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Instructions

    • 1

      Draw a circle on a sheet of paper. Draw another circle overlapping the first one, to show two circles with a shared overlapped area.

    • 2

      Add a variable to each circle. For example, in the left circle, you will write "X," and in the right circle, you will write "Y" to give you a left set of "X" and a right set of "Y."

    • 3

      Write "X U Y" in the shared area where the two circles overlap; this defines the missing set as everything within both circles, which in this case are the variables "X" and "Y."

    • 4

      Add more variables to either circle and adjust the shared area accordingly. For example, if you added "Z" to the left circle and "Q" to the right circle, the shared area would then read "X U Z U Y U Q" to indicate that "X," "Z," "Y" and "Q" are found throughout both circles

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