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1) A and B are the subsets of a universal set [tex]$U$[/tex]. If [tex]$U = \{x: x \text{ is a natural number, } x \leq 10\}$[/tex], [tex][tex]$A = \{y: y \text{ is an odd number less than 10}\}$[/tex][/tex], and [tex]$B = \{z: z \text{ is a prime number less than 10}\}$[/tex], answer the following questions:
a) List the elements of [tex]$U, A$[/tex], and [tex][tex]$B$[/tex][/tex].
b) Write the cardinal number of [tex]$(A \cap B)$[/tex].
c) Find the elements of [tex]$(A - B)$[/tex].
d) Find [tex]$(\overline{A \cup B})[/tex] and illustrate it in a Venn diagram by shading.
e) What is the relation between the sets [tex]$(A - B)[tex]$[/tex] and [tex]$[/tex]\therefore$[/tex]?
Sagot :
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