Relations Test ...

Write the properties that the relation "is greter that" satisfies in the set of all positive integers

If $$\displaystyle R=R^{-1}$$ then the relation R is ________

The domain of the relation R = $$\displaystyle \left \{ \left ( x,y \right ):x,y\epsilon N \ and\ x+y\leq 3 \right \}$$ is____

If $$\displaystyle n\left ( A\times B \right )=36$$ then n(A) can possibly be____

The relation 'is a sister of' in the set of human beings is____

The relation 'is a factor of' on the set of natural numbers is not___________

If $$\displaystyle n\left ( P\times Q \right )=0$$  then n(P) can possibly be

If a R b, b R c and a R c, and a,b,c,$$\displaystyle \epsilon $$ A, then the relation R on the set A is said to be a/an_____ relation

Let $$R$$ be the relation in the set $$\left\{1, 2, 3, 4\right\}$$ given by $$R=\left\{(1, 2), (2, 2), (1, 1), (4, 4), (1, 3), (3, 3), (3, 2)\right\}$$. Choose the correct answer.

If $$A=\left \{1, 2,3\right \}$$ and $$B=\left \{3,8\right \}$$, then $$(A\cup B)\times (A\cap B)$$ is equal to