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)