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3. Place the number cards in the correct circle.
4. What do you notice about the positions of both the circles?
5. What is the relationship between set A and set B?

From the results of Exploration Activity 2, it is found that
every element in set B is also an element of set A. Set B is
known as a subset of set A and is written as B , A. Referring to Exploration
Activity 2, if set C
represents multiples of 8,
8 discuss the relationship
between set C and set B,
For each of the following, determine whether set A is a and the relationship
subset of set B. between set C and set A.
(a) A = {2, 4, 6} and B = {1, 2, 3, 4, 5, 6}

(b) A = {prime numbers which are less than 20} and Think Smart
B = {odd numbers which are less than 20}
What is the relationship
(c) A = {letters in the word ‘SOPAN’} and between P and Q if
B = {letters in the word ‘KESOPANAN’} P , Q and Q , P?

(a) A , B Every element of A is found in B.

(b) A = {2, 3, 5, 7, 11, 13, 17, 19} ‘Is not a subset of’ can
B = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19} Element 2 is be denoted using the
not in B.
A  B symbol . For example,
‘P is not a subset of Q’
(c) A , B Every element of A is found in B. can be written as P  Q.

On the first day of athletics championships, three track events
will be held and they include 100 m, 200 m and 400 m. Each CHAPTER
student can participate in one, two or all the three events.
11
If set A represents the track events held on the first day
of athletics championships, then A = {100 m, 200 m, 400 m}.

The events that a student may participate in are {100 m},
{200 m}, {400 m}, {100 m, 200 m}, {100 m, 400 m},
{200 m, 400 m}, {100 m, 200 m, 400 m}. The student may
also not participate in any event and it is represented by the • Empty set, f is a subset
empty set, { }. of any set.
• Set itself is a subset of
any set.
Thus, each set of the listed events is a subset of set A.

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Introduction of Set