Thread: Set Theory - Data Management

39. Given that the universal set 'S' is the set of all real numbers, illustrate the relationship between the following sets using a Venn diagram:

A = {x | set of all odd numbers}
B= {x | set of all even numbers}
C= {x | set of all positive numbers}
D = {x | set of all real numbers such that -4 # x# 4



40. Given A = {1,3,5,7}
B = {c,d}
S = {X E I | 0 < x <10} ∪ {x |x is a letter of the word dice}

Find each of the following sets.

a) A'
b) B'
c) A ∪ B'
d) (A ∪ B)'


41. Given A= {x | x is a man}
B= {x|x has broad shoulders}
C= {x|x dislikes sports}

Describe each of the following sets in words:

a) B ∪ C

b) A ∩ B

c) A ∪ C

d) A ∪ (B ∩ C)

Originally Posted by cnmath16

39. Given that the universal set 'S' is the set of all real numbers, illustrate the relationship between the following sets using a Venn diagram:

A = {x | set of all odd numbers}
B= {x | set of all even numbers}
C= {x | set of all positive numbers}
D = {x | set of all real numbers such that -4 # x# 4

what have you tried? can you at least say their relationships in words? which set will be contained in which? which ones overlap? etc. that's the first step

40. Given A = {1,3,5,7}
B = {c,d}
S = {X E I | 0 < x <10} ∪ {x |x is a letter of the word dice}

Find each of the following sets.

a) A'
b) B'
c) A ∪ B'
d) (A ∪ B)'

note that S = {d, i, c, e, 1, 2, 3, 4, 5, 6, 7, 8, 9}

A' = {everything in S that is not in A} = ...

B' = {everything in S that is not in B} = ...

A ∪ B' = {anything that is in A and B'} = ... (i suppose you know how to form unions?)

(A ∪ B)' = {everything in S that is not in the set A ∪ B} = ...

41. Given A= {x | x is a man}
B= {x|x has broad shoulders}
C= {x|x dislikes sports}

Describe each of the following sets in words:

a) B ∪ C

b) A ∩ B

c) A ∪ C

d) A ∪ (B ∩ C)

think of ∪ as "or" and ∩ as "and" or "with". now what can you come up with?