The Fig shows a relation between the sets $P$ and $Q$. Write this relation 

in set - bulider form,

What is its domain and range ?

878-s25

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It is obvious that the relation $R$ is $" x$ is the square of $y''$

In set-builder form, $R =\{(x, y): x$ is the square of $y, x \in P, y \in Q\}$

878-s25

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The Fig shows a relationship between the sets $P$ and $Q .$ Write this relation

in set-builder form 

What is its domain and range?

Let $R$ be a relation from $Q$ to $Q$ defined by $R=\{(a, b): a, b \in Q$ and $a-b \in Z \} .$ Show that

$(a, b) \in R$ and $(b, c) \in R$ implies that $(a, c) \in R$