Question

p= { x:x is a prime factor of 6} list all subsets of p.​

Answer 1

Answer:

Ф, {2}, {3}, {2, 3}

Step-by-step explanation:

Given:

P = {x:x is a prime factor of 6}

or, P is a set of all x such that x is a prime factor of 6.

Factors of 6: 1, 2, 3 and 6

Prime Factors of 6 are: 2 and 3

Therefore, the elements of set {2, 3} satisfy the condition for x in the set-builder P

We know that phi (Ф) is a  subset of every set and a set is a subset of itself.

Therefore, the subsets of p or {2, 3} are as follows:

Ф, {2}, {3}, {2, 3}