Question

given the venn diagram, what numbers are in the set of c u
{5,9}
{1,4,5,6,9}
{1,4,5,5,6,9,9}
{1,4,5,9}

Explanation:

Step1: Recall the definition of union

The union of two sets \(C\) and \(D\), denoted as \(C\cup D\), is the set of all elements that are in \(C\), in \(D\), or in both.

Step2: Identify elements in set \(C\)

From the Venn - diagram, elements in set \(C\) are \(\{1,4,5,9\}\).

Step3: Identify elements in set \(D\)

From the Venn - diagram, elements in set \(D\) are \(\{5,6,9\}\).

Step4: Combine elements

When we take \(C\cup D\), we combine the elements of \(C\) and \(D\) and remove duplicates. So \(C\cup D=\{1,4,5,6,9\}\) (since \(5\) and \(9\) are common to both sets and we only list them once).

Answer:

\(\{1,4,5,6,9\}\)