Question

A = {1, 2, 3, 4} true or not(iii) A ⊂ {1, 2, 3, 4​

Answer 1

Answer:

When selecting elements of a set to include in a subset, each element of the set is either in or not in the subset. Two possibilities for each element.

So the number of possible subsets of A is 2 × 2 × 2 × 2 = 2^4 = 16.

But one of these is the improper subset of A.

Another of these subsets is the empty set.

So the number of non-empty, proper subsets of A is 16 - 2 = 14.

Answer 2

Answer:

When selecting elements of a set to include in a subset, each element of the set is either in or not in the subset. Two possibilities for each element.

So the number of possible subsets of A is 2 × 2 × 2 × 2 = 2^4 = 16.

But one of these is the improper subset of A.

Another of these subsets is the empty set.

So the number of non-empty, proper subsets of A is 16 - 2 = 14.