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Shade the Venn diagram to represent the set A' U (A ∩ B) MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises U A B.

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Presentation on theme: "Shade the Venn diagram to represent the set A' U (A ∩ B) MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises U A B."— Presentation transcript:

1 Shade the Venn diagram to represent the set A' U (A ∩ B) MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises U A B

2 Shade the Venn diagram to represent the set A' U (A ∩ B) MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises U A B

3 What regions make up X ∩ W' ∩ Y ? MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises U W X Y

4 What regions make up X ∩ W' ∩ Y ? MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises U W X Y

5 Use the given information to fill in the number of elements for each region in the Venn diagram below. MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises U A B n(A) = 16, n(B) = 21, n(A ∩ B) = 13, n(A') = 38

6 Use the given information to fill in the number of elements for each region in the Venn diagram below. MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises U A B Answer: y = 13 x = 3 z = 8 w = 30 n(A) = 16, n(B) = 21, n(A ∩ B) = 13, n(A') = 38

7 Find the number of elements in each region below. MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises U A B n(A ∩ B ∩ C) = 2 n(C) = 29 n(A ∩ C) = 10 n(A ∩ C') = 28 n(A' ∩ B' ∩ C') = 8 n(A ∩ B) = 9 n(B ∩ C) = 11 n(B') = 41 C

8 Find the number of elements in each region below. MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises U A B n(A ∩ B ∩ C) = 2 n(C) = 29 n(A ∩ C) = 10 n(A ∩ C') = 28 n(A' ∩ B' ∩ C') = 8 n(A ∩ B) = 9 n(B ∩ C) = 11 n(B') = 41 C Answer: w = 2 z = 9 r = 8 n = 23 x = 7 p = 10 y = 8 m = 21

9 Find the number of elements in sets A, B & C if: MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises U A B A ∩ B = Ø n(B ∩ C) = 3 n(A ─ C) = 1 n(U) = 19 n(A ∩ C) = 11 n(C ─ A) = 7 n(B ∩ C) = 11 C

10 Find the number of elements in sets A, B & C if: MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises U A B A ∩ B = Ø n(B ∩ C) = 3 n(A ─ C) = 1 n(U) = 19 n(A ∩ C) = 11 n(C ─ A) = 7 n(B ∩ C) = 11 C Answer: n(A) = 12 n(B) = 3 n(C) = 18

11 MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises Mammals (A) Birds (B) Reptiles (C) Fish (D) Total Morning (E) 11154680251 Afternoon (F) 31912970 Evening (G) 10 3 482485 Total1526655133406

12 MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises Mammals (A) Birds (B) Reptiles (C) Fish (D) Total Morning (E) 11154680251 Afternoon (F) 31912970 Evening (G) 10 3 482485 Total1526655133406

13 92 cities were surveyed to determine sports teams. MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises 24 had soccer 13 had soccer & rugby 7 had all three 23 had rugby 12 had soccer & volleyball 19 had volleyball 13 had rugby & volleyball U A C B Fill in the number of elements in each region. Answer: see next slide

14 92 cities were surveyed to determine sports teams. MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises 24 had soccer 13 had soccer & rugby 7 had all three 23 had rugby 12 had soccer & volleyball 19 had volleyball 13 had rugby & volleyball U A C B How many had only volleyball? 7 6 4 6 5 6 1 57

15 92 cities were surveyed to determine sports teams. MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises 24 had soccer 13 had soccer & rugby 7 had all three 23 had rugby 12 had soccer & volleyball 19 had volleyball 13 had rugby & volleyball U A C B How many had only volleyball? 7 6 4 6 5 6 1 57 1

16 92 cities were surveyed to determine sports teams. MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises 24 had soccer 13 had soccer & rugby 7 had all three 23 had rugby 12 had soccer & volleyball 19 had volleyball 13 had rugby & volleyball U A C B How many had soccer & rugby but not volleyball? 7 6 4 6 5 6 1 57

17 92 cities were surveyed to determine sports teams. MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises 24 had soccer 13 had soccer & rugby 7 had all three 23 had rugby 12 had soccer & volleyball 19 had volleyball 13 had rugby & volleyball U A C B How many had soccer & rugby but not volleyball? 7 6 4 6 5 6 1 57 6

18 92 cities were surveyed to determine sports teams. MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises 24 had soccer 13 had soccer & rugby 7 had all three 23 had rugby 12 had soccer & volleyball 19 had volleyball 13 had rugby & volleyball U A C B How many had soccer or rugby? 7 6 4 6 5 6 1 57

19 92 cities were surveyed to determine sports teams. MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises 24 had soccer 13 had soccer & rugby 7 had all three 23 had rugby 12 had soccer & volleyball 19 had volleyball 13 had rugby & volleyball U A C B How many had soccer or rugby? 7 6 4 6 5 6 1 57 34

20 92 cities were surveyed to determine sports teams. MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises 24 had soccer 13 had soccer & rugby 7 had all three 23 had rugby 12 had soccer & volleyball 19 had volleyball 13 had rugby & volleyball U A C B How many had soccer or rugby but not volleyball? 7 6 4 6 5 6 1 57

21 92 cities were surveyed to determine sports teams. MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises 24 had soccer 13 had soccer & rugby 7 had all three 23 had rugby 12 had soccer & volleyball 19 had volleyball 13 had rugby & volleyball U A C B How many had soccer or rugby but not volleyball? 7 6 4 6 5 6 1 57 16

22 92 cities were surveyed to determine sports teams. MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises 24 had soccer 13 had soccer & rugby 7 had all three 23 had rugby 12 had soccer & volleyball 19 had volleyball 13 had rugby & volleyball U A C B How many had exactly 2 teams? 7 6 4 6 5 6 1 57

23 92 cities were surveyed to determine sports teams. MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises 24 had soccer 13 had soccer & rugby 7 had all three 23 had rugby 12 had soccer & volleyball 19 had volleyball 13 had rugby & volleyball U A C B How many had exactly 2 teams? 7 6 4 6 5 6 1 57 17

24 A survey of 260 families: MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises 99 had a dog 98 had neither a dog nor a cat 76 had a cat and also had no parakeet 34 had a dog & cat 8 had a dog, a cat & a parakeet U A C B How many had a parakeet only?

25 A survey of 260 families: MATH 110 Sec 2-4: More Venn Diagrams Practice Exercises 99 had a dog 98 had neither a dog nor a cat 76 had a cat and also had no parakeet 34 had a dog & cat 8 had a dog, a cat & a parakeet U A C B How many had a parakeet only? 21


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