Answer:

Sets written as A-B is the SET of all elements of A that are not of elements of B. in set-builder notation, A-B ={x E U : x E A and x E B}

The union of sets A and Ac donated by A' or Ac is the set of all elements that belong to universal set but do not belong to set A.

Step-by-step explanation:

Sets

A set is a collection of objects called members or elements. For example, all

letters of the English alphabet form a set whose elements are all letters of the

English alphabet. We will use capital letters for sets and lower case letters for elements.

There are three ways to define a set:

• • Verbal description: A = {all letters of the English alphabet}
• • Roster notation or Listing in braces:

A = {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z}

• • Set-builder notation: A = {x|x is a letter of the English alphabet

Set Operations

Sets can be combined in a number of different ways to produce another set.

• The complement of A, A', is the set of elements in U that is not in A.
• Sets are disjoint if they do not share any elements.
• The intersection of A and B is the set of elements in both set A and set B.
• The union of A and B is the set of elements in either set A or set B or both.