Question

Consider the set A, of all integers from 1 to 10 inclusive (that means the 1 and the 10 are included in this set) Give a set B that is a subject of A. State it's definition and lists it's elements in roster form. Then give a set C that is the complement of B.

Answer 1

`C^(I)` = {2, 4, 10}

Explanation:

A set is a collection of objects called elements. These element are refered to as members of the set.

Set A contains all integers from 1 to 10 inclusive;

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A subset of a given set implies that every element of the subset are also elements of the given set. Set B is a subset of A;

B = {1, 3, 5, 6, 7, 8, 9}

Complement of a given set refers to elements not in the general set. Set C is the complement of B;

`C^(I)` = {2, 4, 10}