2.2 Subsets

Question 1

Subset ⊆

Answer 1

If all the elements of one set are also elements of another set (ex: {Brazil, Argentina} ⊆ {Brazil, Colombia, Argentina}

Question 2

Proper subset ⊂

Answer 2

If all the elements of a set are elements of another set and are not equal (ex: set A = {red, blue} ⊂ set B = {red, yellow, blue})

Question 3

Every set is a subset of itself…

Answer 3

But no set is a proper subset of itself

Question 4

Number of distinct (different) sets

Answer 4

2^n (2 to the power of n, where n is the number of elements in set A)

Question 5

Number of distinct proper subsets

Answer 5

2^n - 1 (one less than the number of subsets)