Q26

MCQ2 marks, −0.67

A binary relation $R$ on $\mathbb{N} \times \mathbb{N}$ is defined as follows: $(a, b) R(c, d)$ if $a \leq c$ or $b \leq d$ . Consider the following propositions: $P:$ $R$ is reflexive. $Q:$ $R$ is transitive. Which one of the following statements is TRUE?

(A)

Both $P$ and $Q$ are true.

(B)

$P$ is true and $Q$ is false.

(C)

$P$ is false and $Q$ is true.

(D)

Both $P$ and $Q$ are false.

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