Question

P={x/x=2n,n€I}, p is
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Answer 1

Given data:

The set $P=\{x|x=2n,n\in I\}$

To find:

The set $P$

Step-by-step explanation:

• Before we solve the problem, we must know that $I$ is the set of integers.

• So, in order to find the set $P$, we have to find values of $x=2n$, when $n=0,\pm 1,\pm 2,\pm 3, ...$.

Thus we obtain the values of $x$ as

$\quad 0,\pm 2,\pm 4,\pm 6,\pm 8,\pm 10, ...$.

Therefore, $P=\{x|x=2n,n\in I\}$

$\Rightarrow P=\{0,\pm 2,\pm 4,\pm 6,\pm 8, ...\}$ and certainly this is an infinite set.

Final Answer:

$P=\{0,\pm 2,\pm 4,\pm 6,\pm 8, ...\}$