n(A) = 3; n(B) = 4; then n ( A x B) =
7
12
24
1
A= {1,2,3}; The relation R is reflexive in A; so R =
{(1,2), (2,3), (3,1)}
{(1,2), (1,3), (2,3)}
{(1,1), (2,2), (3,3)}
{(3,2), (2,1), (3,1)}
Example for an ordered pair
{2,3}
{(2,3)}
(2,3)
(2)
If R= {(2,4), (3,9), (4,16), (5,25)} then the range of R-1=
{2,3,4,5}
{4,9,16,25}
{25,16,9,4}
{2,3,4,5,9,16,25}
A= {1,2,3,} ; B= Φ then (A x B) =
{1,2,3,Φ}
Φ
{1,2,3}
{Φ}
If A= {1,2,3}, then the number of elements in A x A=
9
6
8
3
If A x B = Φ then
A is a null set
B is a null set
Either A or B is a null set
Both A and B are null sets
A x ( B U C ) =
( A x B ) U C
( A x B ) ∩ C
( A x B ) U ( A x C )
( A x B ) ∩ ( A x C )
R= {(1,a), (2,b), (3,c)}. Domain of R=
{a,b,c}
{1,a,2,b,3,c}
{1,2,3,a}
A= {2,1} ; B= {0} then A x B is
{(2,0), (1,0)}
{(0,2), (0,1)}
{(2,0), (0,1)}
