What is a Subset? If A & B are two sets, A is called a subset of B, written A ⊆ B, if, and only if, any element of A is also an element of B. Symbolically: A ⊆ B EXAMPLES: Let A = {1, 3, 5} B = {1, 2, 3, 4, 5} C = {1, 2, 3, 4} D = {3, 1, 5} Then A ⊆ B ( Because every element of A is in B ) C ⊆ B ( Because every element of C is also an element of B ) A ⊆ D ( Because every element of A is also an element of D and also note that every element of D is in A so D ⊆ A ) and A is not subset of C . ( Because there is an element 5 of A which is not in C )

If A & B are two sets, A is called a subset of B, written A ⊆ B, if, and only if, any element of A is also an element of B. Symbolically: A ⊆ B EXAMPLES: Let A = {1, 3, 5} B = {1, 2, 3, 4, 5} C = {1, 2, 3, 4} D = {3, 1, 5} Then A ⊆ B ( Because every element of A is in B ) C ⊆ B ( Because every element of C is also an element of B ) A ⊆ D ( Because every element of A is also an element of D and also note that every element of D is in A so D ⊆ A ) and A is not subset of C . ( Because there is an element 5 of A which is not in C )

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