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Q: What are the subsets of the universal set are represented in a Venn diagram by what shape a circle an oval or a rectangle?

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The universal set is represented by a rectangle. Subsets of this set are represented by closed curves (often circles). A ⊂ € Further subsets are represented by a closed curve within a larger closed curve. Q ⊂ P ⊂ € The intersection of two sets (A & B) is the set of elements that are members of both A & B and is usually shown as a shaded region. A ∩ B The union of two sets (A & B) is the set of all elements contained in A & B. A ∪ B.

It is the set of all the things you are dealing with or considering. For example, if I am looking at subsets that are even integers and I am looking at all integers, then the set of all integers is the universal set. If we are looking at hair color, some subsets are redheads, blondes etc. The universal sets is the set of all possible hair colors.

32 different kinds of subsets

A finite set with N distinct elements has 2N subsets.

Venn diagrams are used to visually represent sets, subsets and which sets or subsets form unions and intersections. For example if there are N employees in a department comprising men, women, smokers, non-smokers, vegetarians, non-vegetarians, then N is the total set and within that there are subsets for example 1) Men who smoke and are vegetarins 2) Women who don't smoke and are non-vegetarians 3) ..... 4) so on Venn diagrams (usually using circles) can depict pictorially how these subsets relate to the main set and other subsets. Once this picture is clealy drawn and understood further mathematical analysis becomes easy.

Related questions

The number of elements in the primary [proper] subsets of the universal set.

If the universal set contains N elements then it has 2N subsets.

The universal set is represented by a rectangle. Subsets of this set are represented by closed curves (often circles). A ⊂ € Further subsets are represented by a closed curve within a larger closed curve. Q ⊂ P ⊂ € The intersection of two sets (A & B) is the set of elements that are members of both A & B and is usually shown as a shaded region. A ∩ B The union of two sets (A & B) is the set of all elements contained in A & B. A ∪ B.

If the universal set, U, has N elements then it has 2N subsets.

Once example is the whole numbers and subsets are the numbers 1,2 and 3 written {1,2,3}. Another example is all the colors. Subsets would be any number of individual colors. The universal set may be finite or infinite.

A parallelogram of which a rectangle, a rhombus, and a square are subsets

It is the set of all the things you are dealing with or considering. For example, if I am looking at subsets that are even integers and I am looking at all integers, then the set of all integers is the universal set. If we are looking at hair color, some subsets are redheads, blondes etc. The universal sets is the set of all possible hair colors.

There are 250 subsets. That is 1,125,899,906,842,624 of them and I am NOT proposing to list them.

Venn diagrams are a means for displaying relationships between sets.

meaning of proper subsets

An element doesn't have subsets. Sets can have subsets.

There are no subsets of irrational numbers. There are subsets of rational numbers, however.

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