Questions: Question 4 (1 point) Given the following definitions: U = a, b, c, d, e, f, g A = a, c, e, g B = a, b, c, d Find A ∪ B Answer in roster form, with a single space after each comma.

Solution Steps

To find the union of two sets \( A \) and \( B \), we combine all the unique elements from both sets. The union operation includes every element that is in either set \( A \) or set \( B \) or in both.

We are given the sets:

• \( A = \{a, c, e, g\} \)
• \( B = \{a, b, c, d\} \)

The union of two sets \( A \) and \( B \), denoted as \( A \cup B \), includes all elements that are in either \( A \) or \( B \) or in both. Therefore, we combine all unique elements from both sets.

The elements in the union \( A \cup B \) are:

• From \( A \): \( a, c, e, g \)
• From \( B \): \( a, b, c, d \)

Combining these, the union is: \[ A \cup B = \{a, b, c, d, e, g\} \]

Final Answer