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Pamela Leutwyler

Pamela Leutwyler. There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs. All of the dog owners are men

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Page 1: Pamela Leutwyler. There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs. All of the dog owners are men

Pamela Leutwyler

Page 2: Pamela Leutwyler. There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs. All of the dog owners are men

There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.All of the dog owners are men. All of the cat owners have goldfish.50 own dogs and goldfish. There are 35 women.

How many own fish but not cats?How many men do not own dogs?How many men own cats?

Page 3: Pamela Leutwyler. There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs. All of the dog owners are men

There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.All of the dog owners are men. All of the cat owners have goldfish.50 own dogs and goldfish. There are 35 women.

If D C = U then D C =

D C

Page 4: Pamela Leutwyler. There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs. All of the dog owners are men

There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.All of the dog owners are men. All of the cat owners have goldfish.50 own dogs and goldfish. There are 35 women.

30

D C

Page 5: Pamela Leutwyler. There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs. All of the dog owners are men

There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.All of the dog owners are men. All of the cat owners have goldfish.50 own dogs and goldfish. There are 35 women.

30

D C

If D M then M D

M = W W

the complement of the set of men is the set of women.

Page 6: Pamela Leutwyler. There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs. All of the dog owners are men

There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.All of the dog owners are men. All of the cat owners have goldfish.50 own dogs and goldfish. There are 35 women.

30

D C

If C F then F C

W F

Page 7: Pamela Leutwyler. There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs. All of the dog owners are men

There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.All of the dog owners are men. All of the cat owners have goldfish.50 own dogs and goldfish. There are 35 women.

30

D C W F

20

Page 8: Pamela Leutwyler. There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs. All of the dog owners are men

There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.All of the dog owners are men. All of the cat owners have goldfish.50 own dogs and goldfish. There are 35 women.

30

D C W F

20

35

Page 9: Pamela Leutwyler. There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs. All of the dog owners are men

There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.All of the dog owners are men. All of the cat owners have goldfish.50 own dogs and goldfish. There are 35 women.

30

D C W F

20

35 10

Page 10: Pamela Leutwyler. There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs. All of the dog owners are men

There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.All of the dog owners are men. All of the cat owners have goldfish.50 own dogs and goldfish. There are 35 women.

30

D C W F

20

35 10

5

Page 11: Pamela Leutwyler. There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs. All of the dog owners are men

There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.All of the dog owners are men. All of the cat owners have goldfish.50 own dogs and goldfish. There are 35 women.

30

D C W F

20

35 10

5

How many own fish but not cats?How many men do not own dogs?How many men own cats?

Page 12: Pamela Leutwyler. There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs. All of the dog owners are men

There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.All of the dog owners are men. All of the cat owners have goldfish.50 own dogs and goldfish. There are 35 women.

30

D C W F

20

35 10

5

How many own fish but not cats?How many men do not own dogs?How many men own cats?

20

Page 13: Pamela Leutwyler. There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs. All of the dog owners are men

There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.All of the dog owners are men. All of the cat owners have goldfish.50 own dogs and goldfish. There are 35 women.

30

D C W F

20

35 10

5

How many own fish but not cats?How many men do not own dogs?How many men own cats?

205

Page 14: Pamela Leutwyler. There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs. All of the dog owners are men

There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.All of the dog owners are men. All of the cat owners have goldfish.50 own dogs and goldfish. There are 35 women.

30

D C W F

20

35 10

5

How many own fish but not cats?How many men do not own dogs?How many men own cats?

205

35

Page 15: Pamela Leutwyler. There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs. All of the dog owners are men

There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.All of the dog owners are men. All of the cat owners have goldfish.50 own dogs and goldfish. There are 35 women.

30

D C W F

20

35 10

5

How many own fish but not cats?How many men do not own dogs?How many men own cats?

205

35