Example for an ordered pair
{2,3}
{(2,3)}
(2,3)
(2)
A, B are two non -empty sets. If A x B = B x A
A = B
A ≠ B
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
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}
Which of the following is a function?
{(1,2), (2,3), (2,4)}
{(1,2), (2,2), (3,2)}
{(1,4), (1,5), (1,6)}
{(2,3), (3,2), (2,4)}
Which of the following is an equivalence relation?
is parallel to
is a factor
is greater than
is perpendicular to
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 x B ) = 10; n (A) = 5. So n(B) =
5
2
10
1
A= {1,2,3,} ; B= Φ then (A x B) =
{1,2,3,Φ}
Φ
{Φ}