Page 158 - Mathematics_Form_Two

Sets

Example 7�17 (b) Determine n(A), n(A′) and n( ).

If A is a proper subset of B, represent the (c) Find n(A) + n(A′).
two sets in a Venn diagram. (d) Comment on the result in n( ) and
n(A) + n(A′).
Solution B. Therefore, the Venn Solution
FOR ONLINE READING ONLY
Since all elements of et A are in set
Mathematics for Secondary Schools diagram for A ⊂ is as follows. The Venn diagram representing the given
B, then A ⊂
B.
data is shown in the following figure.

(a)

(b) From the Venn diagram n(A) = 3,
n(A') = 2, and n( ) = 5.
Example 7�18
(c) n(A) + n(A') = 5
Represent A∪B in a Venn diagram, (d) The number of elements in a
given that universal set is equal to the sum of

A = {1, 2} and B = {1, 3, 5}. the number of elements in set A and
Solution the number of elements in the set
Since 1 is a common element to both ′ A .
sets, then the sets are represented in a
+
Venn diagram as follows. That is, ( )n µ = n (A) n (A ) ′ .

Example 7�20

Given the sets, = {1, 2, 3, 4, 5, 6, 7, 8},

A = 3, 4, 5 , and B = 1, 2,4,6 . Show
that (A  B) = A  B by using a Venn

diagram.

Example 7�19 Solution
Given that
Given = {a, b, c, d, e} and A = {b, c, e}.

= {1, 2, 3, 4, 5, 6, 7, 8}, A = 3, 4, 5 ,
(a) Represent the information in a Venn 
diagram. and B = 1, 2,4,6 .

152
Student's Book Form Two

MATHEMATIC F2 v5.indd 152 11/10/2024 20:13:28
11/10/2024 20:13:28
MATHEMATIC F2 v5.indd 152