Sets #3: Subsets and complements

{}, {a}, {b}, {c}, {ab}, {ac}, {bc}, {abc}

What are the possible subsets of {a, b, c}?

The complement of A

A is a subset of U (the universal set). All the elements of U that are not in A are called...

Set B is a subset of Set A

Every element in Set B is an element of Set A

Set B is a proper subset of Set A

Every element in Set B is an element of Set A, and Set A contains at least one element that is not in Set B

2^n

How many possible subset combinations are there for a set that has n terms?

2^4 = 16

How many possible subsets are there for a set with 4 elements?

B⊆A B is not a proper subset of A

Is B a subset of A, a proper subset, or neither? A={a, b, c, d} B={a, b, c, d}

B⊂A

Is B a subset of A, a proper subset, or neither? A={a, b, c, d} B={a, b, c}

{b, c, d, f, g, h, j, k, l, m, n, p, q, r, s, t, v, w, x, y, z}

U = {the letters of the English alphabet} A = {a, e, i, o, u} What is the complement of A?

"is a proper subset of"

⊂

"is a subset of"

⊆