Question

Which of the following operation is not a partial order relation?

• A. "less than or equal ($\leq$)" on $\mathbb{R}$
• B. "subset ($\subseteq$)" on power set of set $A$
• C. "Divides" on $\mathbb{N}$
• D. "less than ($<$)" on $\mathbb{R}$

Hint:

A Partial Order Relation must be Reflexive. If the relation is "strict" (like $<$ or $\subset$), it is automatically not a partial order because an element cannot be strictly less than or a strict subset of itself.

Answer 1

The Correct Option is D