Relations Test ...

If $R$ is a relation from a set $A$ to the set $B$ and $S$ is a relation from $B$ to $C,$ then the relation $SoR$

What is the Cartesian product of $A = \left \{1, 2\right \}$ and $B = \left \{a, b\right \}$?

$A = \left \{1, 2, 3, 4\right \}$ and $B = \left \{a, b, c\right \}$. The relations from $A$ to $B$ is

What is the first component of an ordered pair $(1, -1)$?

$R$ is a relation defined in $R\times T$ by $(a,b) R (c,d)$ iff $a-c$ is an integer and $b=d$. The relation $R$ is

Let a relation $R$ be defined by $R=\left \{(4,5), (1,4), (4,6), (7,6), (3,7)\right \}$. The relation $R^{-1}\circ R$ is given by

Given $(a - 2, b + 3) = (6, 8)$, are equal ordered pair. Find the value of $a$ and $b$.

What is the second component of an ordered pair $(3, -0.2)$?

The relation $R$ defined on the set $A=\left \{1,2,3,4,5\right \}$ by $R=\left \{(x,y):|x^2-y^2| < 16\right \}$ is given by

Ordered pairs $(x, y)$ and $(3, 6)$ are equal if $x = 3$ and $y = ?$