2. N- Natural
Numbers All
W- Whole Numbers E Numbers,
Z= Integers R Real and
R= Rational Imaginary
Z
Numbers
E= Real Numbers W
i = Imaginary N
Numbers
i
COPY and fill in the Circle Chart with the correct Terms

4. • For any set (A) within Universal set (U), it
is the set of elements of U that are not
Elements of A
• U stands for “Universal set” ; All numbers or
elements possible
• Pretty much, a compliment is the opposite,
everything that is not in set A
• U= {cats, birds, geckos, dog}
• A= {birds}
• Find A’

5. •

6. • Proper subsets are NOT
equal sets
• A proper subset of a set has
some but not ALL of the
elements of that set
• Which are proper subsets of
Q?
Q= {1, 4, 7,13,14, 22}
N= {1, 4 , 7, 14, 22}
R= {1, 4, 7, 13, 14, 22}
S= {7}
T= { 22, 23}

7. • The number of subsets you
have depends on the
number of combinations
you can make with the
elements
• N – number of elements
The number of
elements in a set • Formula;
determines the
number of subsets • Number of subsets = 2n
Number of Elements 0 1 2 3 4
Number of sets 1= 20 2=21 4=22 8= 23 16= 24

8. • Q= {1,2,3,}
• Subsets
• {}, {1}, {2}, {3}, {1,2}, {1,3}, {2,3},
{1,2,3}
• 8 subsets
• 23= 8
Number of subsets

9. • U= {5, 10, 15, 20, 25, 30}
• T= {10, 20, 30}
• Find T’=
• T’= {5, 15, 25}
• Find n(T’)
• 23 = 8
Number of subsets

10. • Formula for Number of Proper
Subsets
•2n-1
• You have to take away the subset
that has all the same elements
Proper subsets- have
some but not ALL of
the same elements of
a set

11. • Q= {1,2,3,}
• Subsets
• {}, {1}, {2}, {3}, {1,2}, {1,3}, {2,3},
{1,2,3}
• 8 subsets
• Take away {1,2,3}
• 7 subsets
Number of proper
subsets • 23-1= 7