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Grade 8 - Mathematics
4.38 Set, Subset and Super set

1. A set "A" is a subset of B, if and only if every element of A is also an element of B, and is denoted by A B.

Example:
A = {a,e,i,o,u}, B = {a,b,c,d,e,f,g,h,...........,z}
All the elements in the set A are in set B.
a A and a B
e A and e B
i A and i B
o A and o B
u A and u B
\ A B [Read as A subset of B]
The above statement is also expressed as B contains A this is written as B A and read as B is super set of A.

2. Every set is a subset of itself.

Example:
A = {1,2,3}, B = {1,2,3}
Every element of A is also an element of B.
\ A B ---------(I)
Similarly every element of B is also in A.
\ B A ---------(II)
From the above tow statements A = B
\ Every set is a subset of itself.

3. Y X and Y X, then Y is called the proper subset of X.

Example:
X = {1,2,3,4}, Y = {3,4}
From above two sets every element of Y is also an element of X.
\ Y X
And we observe that the two sets are not equal i.e.Y X.

4. A is not a subset of B if A contains at least one element which is not in B.
A B or B A.

5. The empty set is a subset of every set.


Directions: Check the given statements true or false. Also write at least ten examples of your own.
Q 1: If A = {1,2,3,4} ; B = {2,4} ; C = {1,2,3,4,7} ; = {} ; Q = {a,e,i,o,u}
Then {e} Q is ______.
True
False

Q 2: If A = {1,2,3,4} ; B = {2,4} ; C = {1,2,3,4,7} ; = {} ; Q = {a,e,i,o,u}
Then B C is _______.
True
False

Q 3: If A = {1,2,3,4} ; B = {2,4} ; C = {1,2,3,4,7} ; = {} ; Q = {a,e,i,o,u}
Then {e,i,o} Q is ________.
False
True

Q 4: If A = {1,2,3,4} ; B = {2,4} ; C = {1,2,3,4,7} ; = {} ; Q = {a,e,i,o,u}
Then B A is ______.
False
True

Q 5: If A = {1,2,3,4} ; B = {2,4} ; C = {1,2,3,4,7} ; = {} ; Q = {a,e,i,o,u}
Then B is _______.
False
True

Q 6: If A = {1,2,3,4} ; B = {2,4} ; C = {1,2,3,4,7} ; = {} ; Q = {a,e,i,o,u}
Then A is _______.
True
False

Q 7: If A = {1,2,3,4} ; B = {2,4} ; C = {1,2,3,4,7} ; = {} ; Q = {a,e,i,o,u}
Then A Q is _______.
False
True

Q 8: If A = {1,2,3,4} ; B = {2,4} ; C = {1,2,3,4,7} ; = {} ; Q = {a,e,i,o,u}
Then C B is ________.
False
True

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Question 10: This question is available to subscribers only!


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