Question

use the venn diagram shown to list the set a∪c in roster form.

Explanation:

Step1: Recall union definition

The union of two sets \(A\cup C\) is the set of all elements that are in \(A\) or in \(C\) (or in both).

Step2: Identify elements in \(A\) and \(C\)

Elements in \(A=\{1,3,5,6,10,11,12\}\), elements in \(C = \{10,11,12,13,15\}\).

Step3: Combine elements

Combining elements without repetition, we get \(A\cup C=\{1,3,5,6,10,11,12,13,15\}\).

Answer:

\(\{1,3,5,6,10,11,12,13,15\}\)