Problem

The Wilcox family is considering buying a dog. They have established several criteria for...

The Wilcox family is considering buying a dog. They have established several criteria for the family dog: It must be one of the breeds listed in the table, must not shed, must be less than 16 in. tall, and must be good with children.

a) Using the information in the table,* construct a Venn diagram in which the universal set is the dogs listed. Indicate the set of dogs to be placed in the region of the Venn diagram.


b) From the Venn diagram constructed in part (a), determine which dogs will meet the criteria set by the Wilcox family. Explain.

Breed

Sheds

Less than 16 in.

Good with children

Airedale

no

no

no

Basset hound

yes

yes

yes

Beagle

yes

yes

yes

Border terrier

no

yes

yes

Cairn terrier

no

yes

no

Cocker spaniel

yes

yes

yes

Collie

yes

no

yes

Dachshund

yes

yes

no

Poodle, miniature

no

yes

no

Schnauzer, miniature

no

yes

no

Scottish terrier

no

yes

no

Wirehaired fox terrier

no

yes

no

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