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q4-setoperators

# q4-setoperators - 1 row 6 1 1 | | 1 row 7 1 1 1 | 1 | 1(a(5...

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CSE 260 QUIZ-4– Set Operations (20 minutes) Answers NAME: 1. (8 points) Let A = { 1 , 2 , 3 , 4 , 5 } and B = { 0 , 3 , 6 } . Find (a) A B = { 1 , 2 , 3 , 4 , 5 , 0 , 6 } (b) A B = { 3 } (c) A - B = { 1 , 2 , 4 , 5 } (d) B - A = { 0 , 6 } 2. (12 points) What can you say about the sets A and B if we know that (a) A B = A ? set B is a subset of set A (b) A B = A ? set A is a subset of set B (c) A - B = B - A ? Set A is same as set B 3. (5 points) Let A = { 1 , 2 } , B = { 3 , 4 } and C = { 5 } Find A × B × C { (1 , 3 , 5) , (1 , 4 , 5) , (2 , 3 , 5) , (2 , 4 , 5) }

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4. (Following is a membership table for three sets A, B and C where 1 in an entry in the table means membership is true and 0 means membership is false. Thus, row 2 means that an element is in B and it is not in A and C. A B C | A ^B ^C | AU(A^B^C) ------------------------------------- row 0: 0 0 0 | 0 | 0 row 1: 0 0 1 | 0 | 0 row 2: 0 1 0 | 0 | 0 row 3: 0 1 1 | 0 | 0 row 4: 1 0 0 | 0 | 1 row 5: 1 0 1
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Unformatted text preview: 1 row 6: 1 1 | | 1 row 7: 1 1 1 | 1 | 1 (a) (5 points) The row 2 and row 7 are labeled in the following Venn diagram. Label row 4 and row 6 in the Venn digram. Shade the corresponding area in the Venn diagram. A C B row 2 row 7 row 6 row 4 (b) (10 points) We have completed the column for A ∩ B ∩ C in the table above. Complete the column for A ∪ ( A ∩ B ∩ C ) in the table. Based on this resulting table indicate what single set this A ∪ ( A ∩ B ∩ C ) simpli±es to, and why. It simpli±es to set A...
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