Question

If $P=\{2m:m\in N\}$ and $Q=\{2^m:m\in N\}$ where $m$ is positive then :

• A. $Q\subset P$
• B. $P\subset Q$
• C. $P=Q$
• D. $P\cup Q=N$

Answer 1

The correct option is A $Q\subset P$

$P=\{2m;mϵN\}$

$P=\{2,4,6,8,10,12,\mathrm{16......}\}$

$Q=\{2^m:mϵN\}$

$Q=\{2,4,8,16,\mathrm{32....}\}$

$Q$ is a subset of$P$.

Since$P$ contains all elements of$Q.$