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 $$y = ?$$