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2. Relations and Functions
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Q6 of 22 Page 2

If A B = {(a,x),(a,y),(b,x),(b,y)}, Find A and B.


A = {a,b} B={x,y}

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4
State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly.
a. If P = {m,n} and Q = {n,m}, then P Q = {(m,n),(n,m)}.
b. If A and B are non-empty sets, then A B is a non- empty set of ordered pairs (x,y) such that x A and y B.
c. If A = {1,2), B = {3,4}, then A (B ) = .

5
If A = {-1,1}, Find A A A.

7
Let A = {1, 2} and B = {3, 4}. Write A X B.  How many subsets will A x B have ?

8
Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x,1)(y,2), (z,1) are in A B, find A and B, where x,y and z are distinct elements.

Questions · 22
2. Relations and Functions
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
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