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13 votes
13 votes
Construct a Venn diagram illustrating the sets below.

U=(a, b, c, d, e, f, g, h, i)
W=(a, c, d, g, i)
Y=(a, b, c, d, e)
Z= (a, e, h, i)

User Carola
by
3.0k points

1 Answer

19 votes
19 votes

Answer: See the venn diagram below

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Step-by-step explanation:

We have the universal set denoted as set U. This consists of the letters 'a' through 'i'. Common convention is to have the universal set be drawn as a rectangle while the other inner subsets are circles.

In circle W, aka set W, are the letters a,c,d,g and i

In circle Y, the letters a,b,c,d,e are inside it.

Circle Z has a,e,h,i inside.

Some of the circles have overlapped regions where shared letters are in common. For instance,

  • Circles W and Y and Z have the letter 'a' in them. The 'a' is at the very center overlapped region of the three circles
  • Circles W and Y have the letter 'c' in common. This letter is not in set Z, so we place it outside of circle Z
  • Circles W and Z, but not circle Y, have the letter 'i' in common. This letter is placed in the overlapped region between circle W and circle Z. It is outside circle Y.

The letter f is not found in any of the circles mentioned (W, Y or Z). We place it outside of all three circles. Every letter mentioned must be inside the universal set rectangle U.

See the diagram below.

Construct a Venn diagram illustrating the sets below. U=(a, b, c, d, e, f, g, h, i-example-1
User Diarmid Mackenzie
by
2.9k points
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