Summary of Discussion ALGEBRA "SET THEORY"

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Summary

Set Theory Symbols

∈ “is an element of”

∉ “is not an element of”

⊂ “is a proper subset of”

 ⊆ “is a subset of”

 ⊄ “is not a subset of”

∅ the empty set; a set with no elements

 ∩ intersection

∪ union

A’ “the compliment of A”;

 A = B “A is equal to B

 Examples: U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} A = {0, 2, 4, 6, 8} B = {0, 1, 2, 3, 4}

Statements 1 through 5 are all true.

 1) 2 ∈ A 2 is an element of A

2) 3 ∉ A 3 is not an element of A

3) A ⊂ U A is a proper subset of U

 4) A ⊄ B A is not a subset of B

 5) A ≅ B A is equivalent to B, both sets contain 5 elements

A ∩ B = {0, 2, 4} all elements in A and B;

what the sets have in common A ∪ B = {0, 1, 2, 3, 4, 6, 8}

all elements in A or B; combine the sets, don’t list anything twice