Operations on sets
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The document discusses operations on sets, including intersection, union, and difference, providing definitions and examples for each. It highlights how to find common elements (intersection), elements unique to a set (difference), and combined elements from multiple sets (union). Additionally, it explains the complement of a set and includes exercises for practicing these concepts.
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Operations on sets
- 1. OPERATIONS ON SETS Intersection, Difference and Union of Sets By: Lawrence A. Longcop
- 2. Intersection of the Sets The set containing the common elements. Bing Cyra Paul Angelin Jennie Princess Shiela Ralf Emerson A ∩ B = {Ralf, Emerson}
- 3. Example Two students listed their favorite subjects: E = {Filipino, Science, Makabayan} and F = Filipino Makabayan Math English Science E ∩ F
- 4. Try this one..! Given M = {4,8,10,14} and V = {1,2,3,15}, what is M ∩ V ? Solution: M ∩ V = { } or Ø. 4 8 10 14 1 2 3 15
- 5. Difference of Sets Denoted by A – B or AB, is the set containing elements in A but not in Bing Cyra Paul Angelin Jennie Princess Shiela Ralf Emerson A – B = {Bing, Cyra, Paul, Angelin}
- 6. Union of Sets Is the set containing all the elements in A or in B or in both A and B, denoted by A B. Bing Cyra Paul Angelin Jennie Princess Shiela Ralf Emerson A B = {Bing, Cyra, Paul, Angelin, Ralph, Emerson, Princess, Shiela, Jennie}
- 7. Your turn..! Find L W. A B C D F G H I C D L L W A B F G H I L D C Find L W = {A,B,C,D,F,G,H,I,L}
- 8. The Complement of a Set The set containing all the elements in the universal set but not in the given set. A U Sunday Saturday Monday Tuesday Wednesday Thursday Friday Complement of set A A’ = {Saturday, Sunday}
- 9. Try this...! Set A = {0,1,4,5,6,7,8} U= {the digits} A U 9 2 3 0 1 4 5 6 7 8 A’ = {2,3,9}