Question

4. P= {x/x=2", NEI} P is
A) an empty set B an infinite set
c.) a finite set D.) singleton set​

Answer 1

Step-by-step explanation:

given set :

p = { x: x/x = 2, x belong to set I} this means,

P is a set of all elements x such that x/x gives value 2 and x must be an integer.

Now, we know on dividing an integer with itself gives 1 as your answer. example: 2/2 = 1 , -2/ -2 = -1, 0/0 = 0.

so our possible answers of x/x are: 1, (-1) and 0.

2 is not in our answer.

so x/x cannot be equal to 2 for integer values of x.

There are no such elements in set P.

P = { }

so,

P is a empty set.