Question

If P = {4, 5, 6, 7, 8, 9}, Q = {2, 3, 4}, R = {4, 5, 8} then which of the following statements are correct ?

• A. $P\subseteq Q$
• B. $R\subseteq P$
• C. Q and R are equivalent sets
• D. $Q\subseteq R$

Answer 1

Answer: (B), (C)

The correct options are
B

$R\subseteq P$

C

Q and R are equivalent sets

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 $2\notin R.$