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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) Afternoon (F) Evening (G) Total

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

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?

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?

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?

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?

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?

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?

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?

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?

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?

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?

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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