A relation from $P$ to $Q$ is
A universal set of $P × Q$
$P × Q$
An equivalent set of $P × Q$
A subset of $P × Q$
(d) A relation from $P$ to $Q$ is a subset of $P \times Q$.
Give an example of a relation. Which is Reflexive and symmetric but not transitive.
Let $\mathrm{A}$ be the set of all students of a boys school. Show that the relation $\mathrm{R}$ in A given by $\mathrm{R} =\{(a, b): \mathrm{a} $ is sister of $\mathrm{b}\}$ is the empty relation and $\mathrm{R} ^{\prime}=\{(a, b)$ $:$ the difference between heights of $\mathrm{a}$ and $\mathrm{b}$ is less than $3\,\mathrm{meters}$ $\}$ is the universal relation.
Let $R$ and $S$ be two non-void relations on a set $A$. Which of the following statements is false
Let $R =\{( P , Q ) \mid P$ and $Q$ are at the same distance from the origin $\}$ be a relation, then the equivalence class of $(1,-1)$ is the set
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