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ALGEBRA II SETS : THE COMPLEMENT OF A SET.

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Presentation on theme: "ALGEBRA II SETS : THE COMPLEMENT OF A SET."— Presentation transcript:

1 ALGEBRA II SETS : THE COMPLEMENT OF A SET

2 U A U = {students at GBHS} A = {students in this class} 1) What can you say about the region inside U, but not in set A? COMPLEMENT : COMPLEMENT : of a set are the elements in U, but not in the set in question. Complements are noted using the symbols A’ or.

3 ROSTER METHOD : ROSTER METHOD : a way to write the elements of a set by listing all of the elements. RULE METHOD : RULE METHOD : a way to write the elements of a set by definition. Let : U = {1, 2, 3, 4, …, 20}J = {2, 4, 6, 8, …, 20} K = {2, 3, 5, 7, 11, 13, 17, 19} L = {1, 3, 9, 11} K = {2, 3, 5, 7, 11, 13, 17, 19} L = {1, 3, 9, 11} 2) Each set above is described using the roster method. Describe the same sets using the rule method. 3) Find the complement of sets J, K, and L. 4) Draw a Venn Diagram of sets U, J, K, and L.

4 SUBSET : SUBSET : if all of the elements in set A are also in set B. Explain why… 5) 6) A set is a subset of itself. 7)U A B

5 8) If S = {students in this class}, name some subsets of S. Name a set which is not a subset of S. 9) Name all subsets of {r, a, t}.


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