Question
Reflexive and transitive but not symmetric.

Answer

“is greater or equal to” $\text{R}=\{(\text{x},\text{y}):\text{x}\geq\text{y}\}$
It is clear that $\text{x}\geq\text{x}$ $\therefore$ R is reflexive.
And $\text{x}\geq\text{y}$ does not imply $\text{y}\geq\text{x}$ $\therefore$ R is not symmetric.
But $\text{x}\geq\text{y},\text{y}\geq\text{z}\Rightarrow\text{x}\geq\text{z}$ $\therefore$ R is transitive.
Therefore, R is reflexive and transitive but not symmetric.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free