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Is the power set of {2,3,4,5} a subset of the power set of {1,2,3,4,5,6}? Why or why not?

Sagot :

we get that the power set of {2, 3, 4, 5} a subset of the power set of {1, 2, 3, 4, 5, 6}.

We are given a power set:

A = {1, 2, 3, 4, 5, 6}

We are also given another power set:

B = {2, 3, 4, 5}

We need to tell if B is a subset of A or not.

We can see that every element of B is a part of A as well.

So, we can say that B is a subset of A.

B ⊂ A

{2, 3, 4, 5} ⊂ {1, 2, 3, 4, 5, 6}

Therefore, we get that the power set of {2, 3, 4, 5} a subset of the power set of {1, 2, 3, 4, 5, 6}.

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