Question

If $P=\{x:x+3=2andx\in N\}$ then the set P is ________.

• A. an empty set
• B. an infinite set
• C. a finite set
• D. not a set

Answer 1

Answer: (A), (C)

The correct options are
A

an empty set

C

a finite set

Given,

$P=\{x:x+3=2andx\in N\}$

We have, $x+3=2$

$x=2-3$

So, $x=-1$, which is not a natural number.

$\therefore$ P = { }

i.e. Set P is an empty set.

Also, empty set is a finite set.