Question

Let U = {1,4,6,9,10,13,14,16,17). Determine the complement of the set {6,10,16}.The complement is

Answer 1

Let U = {1,4,6,9,10,13,14,16,17). Determine the complement of the set {6,10,16}.

The complement

the complement of a set A refers to elements not in A. When all sets under consideration are considered to be subsets of a given set U, the absolute complement of A is the set of elements in U but not in A

Step 1

Let

`\begin{gathered} U=\lbrace1,4,6,9,10,13,14,16,17\rbrace \\ A=\lbrace6,10,16\rbrace \\ B=\text{complement of A} \end{gathered}`

so, the elements of B are those in U but not in A

`B=\lbrace1,4,9,13,14,17\rbrace`

I hope it helps you