If A= {1,2,3}, then the number of elements in A x A=
9
6
8
3
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 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 )
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)}
If (x, -3) = (-4,y) then the values of x and y are
x = -3; y = -4
x = -4; y = -3
x = 3; y = 4
x = -4; y = 3
The above figure denotes
one to one relation
many to one relation
many to many relation
one to many relation
R= {(1,1),(2,4), (3,9)} Set builder form of the above relation
R= {(x,y) / x= y2}
R= {(x,y) / x= y+2}
R= {(x,y) / x2= y}
R= {(x,y) / x2= y2}
The relationship between father and his children
one one
many to one
many to many
one to many
n(A) = 3; n(B) = 4; then n ( A x B) =
7
12
24
1
A, B are two non -empty sets. If A x B = B x A
A = B
A ≠ B
