Question

If P = {4, 5, 6, 7, 8, 9}, Q = {2, 3, 4}, R = {4, 5, 8} then .

• A. $P\subseteq Q$
• B. $R\subseteq P$
• C. $Q\subseteq R$

Answer 1

The correct option is B $R\subseteq P$

All the elements of R are elements of P.

$\Rightarrow R\subseteq P$

Also, both Q and R have the same number of elements.

$\Rightarrow$ They are equivalent sets.

$P⊈Q$ as $6\in P,$ but $6\notin Q.$

$Q⊈R$ as $2\in Q,$ but $2\notin R.$