Question

let ( a = {1, 6, 14, 18, 20} ) and ( b = {2, 4, 9, 13, 14, 18, 20} )\
find the following:\
1st) the elements in the set ( a cup b )\
( a cup b = { } )\
enter the elements as a list, separated by commas. if the result is the empty set, enter one\
1st) the elements in the set ( a cap b )\
( a cap b = { } )\
enter the elements as a list, separated by commas. if the result is the empty set, enter one\
question help: video\
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Explanation:

Step1: Find \( A \cup B \)

The union of two sets \( A \) and \( B \) is the set of all elements that are in \( A \) or in \( B \) (or in both). Given \( A = \{1, 6, 14, 18, 30\} \) and \( B = \{2, 4, 9, 13, 14, 18, 30\} \), we combine all the elements without repeating. So we list all elements from \( A \) and \( B \): 1, 2, 4, 6, 9, 13, 14, 18, 30.

Step2: Find \( A \cap B \)

The intersection of two sets \( A \) and \( B \) is the set of all elements that are in both \( A \) and \( B \). Looking at the elements of \( A \) and \( B \), the common elements are 14, 18, 30.

Answer:

For \( A \cup B \): \( \{1, 2, 4, 6, 9, 13, 14, 18, 30\} \)
For \( A \cap B \): \( \{14, 18, 30\} \)