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}
Example for an ordered pair
{2,3}
{(2,3)}
(2,3)
(2)
(x+y,1) = (5, x-y), then x=
6
3
2
4
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 inverse relation to x>y is
x < y
A, B are two non -empty sets. If A x B = B x A
A = B
A ≠ B
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)}
The above figure denotes
one to one relation
many to one relation
many to many relation
one to many relation
Which of the following is an equivalence relation?
is parallel to
is a factor
is greater than
is perpendicular to
R= {(1,a), (2,b), (3,c)}. Domain of R=
{a,b,c}
{1,a,2,b,3,c}
{1,2,3,a}
{1,2,3}
