Sets Set roster notation set builder notation well

Sets

Set: roster notation: set builder notation: well defined set:

Determine if the given set is well defined. The set of all pink automobiles The set of all good bands The set of odd numbers The set of small numbers

Symbols related to sets: Symbol Term or { } empty set in not in n(A) number

Symbols related to sets: Term Symbol Read as union or and intersection not (in A) complement subset

Given the sets U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {0, 2, 4, 5, 6, 8}, and B = {1, 3, 5, 7} Answer the questions below: • Find n(B). • Find the set A B. • Find the set . .

Suppose n(U) = 61, n(A) = 32, and n(B) = 26. If n(A B) = 40, find n(A B) and draw a Venn diagram to illustrate the composition of U.

A survey of 300 workers yielded the following information: 231 belonged to a union, and 195 were Democrats. If 172 of the union members were Democrats, how many workers were in the following situations? • belonged to a union or were Democrats • belonged to a union but were not Democrats

A survey of 300 workers yielded the following information: 231 belonged to a union, and 195 were Democrats. If 172 of the union members were Democrats, how many workers were in the following situations? • were Democrats but did not belong to a union • neither belonged to a union nor were Democrats

In a recent health survey, 750 single men in their twenties were asked to check the appropriate box or boxes on the following form. I am a member of a private gym. I am a vegetarian. The results were tabulated as follows: 374 checked the gym box 92 checked the vegetarian box 332 were blank (no boxes checked)

750 men surveyed 374 checked the gym box 92 checked the vegetarian box 332 were blank (no boxes checked) 1. Draw a Venn diagram illustration the results of the survey. 2. What percent of these men were both members of a private gym and vegetarians.