Question

Answer in roster notation in numerical order {zero being first}. Need help with questions 2,3, and 4? Thank you.

Answer 1

For any set A the A' is the complement of a set. The complement of a set is defined as the set of elements that are contained in U, the universal set, but not contained in A.

In our example,

$A^{\prime}=\left\lbrace 3,\text{ 7, 9,}0,6\right\rbrace$$B^{\prime}=\left\lbrace 3,7,9,1,5,8\right\rbrace$

Now,

$A^{\prime}\cup B=\left\lbrace 3,7,9,0,6,2,4\right\rbrace$$A^{\prime}\cap B^{\prime}=\left\lbrace 3,7,9\right\rbrace$$(A\cup B)^{\prime}=\left\lbrace 3,7,9\right\rbrace$$A-B^{\prime}=\left\lbrace 2,4,3,7,9\right\rbrace$