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WORKBOOK

Activity: I would like you to write new sets using the elements of the set
A   b,a  c , . Note that, you have so many options when you choose elements
from the set A. For example, you can choose none of the elements of A or all of
them.

***Result: Every sets which are generated from the elements of the set A is called subsets of A. In
general the definintion of subset is given below.

SUBSET:
……………………………………………………………………………………………………………………………………………………………………….
……………………………………………………………………………………………………………………………………………………………………….

In symbolically: A ⊂ B = {xx ∈ A  x ∈ B }

Moreover, it is also denoted by B  A or B  A (“B is a superset of A.”)

Example 1:

B

A .c Using the sets, A and B given on the left
.a

.b “A ………… B” or “B………….. A”
.d

* Note: We will use “ ” and “  ” as a notation in this booklet.

Equal Sets:

……………………………………………………………………………………………………………………………………………………………………….
……………………………………………………………………………………………………………………………………………………………………….

Example 2: Determine, which of two sets A   x:x  , Z  4 x   2 ,  x:xB   , Z x   9 and
2
C   4 , , 3  , 2   2 , 1 , 0 , 1 are equal.

12 091math-wb-w3-(sets)