Question

set a = {engineer, architect, teacher, attorney} and set b = {architect, teacher, mechanic}. determine the elements in a ∪ b. {engineer, architect, teacher, attorney, mechanic} {engineer, attorney, mechanic} {architect, teacher} {engineer, architect, teacher, attorney, architect, teacher}

Explanation:

Step1: Recall the definition of union

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

Step2: List elements from set \(A\) and \(B\)

Set \(A=\{\text{engineer},\text{architect},\text{teacher},\text{attorney}\}\) and set \(B =\{\text{architect},\text{teacher},\text{mechanic}\}\).

Step3: Combine elements and remove duplicates

Combining the elements: \(\text{engineer},\text{architect},\text{teacher},\text{attorney},\text{mechanic}\).

Answer:

\(\{\text{engineer},\text{architect},\text{teacher},\text{attorney},\text{mechanic}\}\)