Question

1. choose the number that is the intersection of sets a and b.

a = {5, 10, 15, 20, 25, 30...}
b = {1, 3, 5, 7, 9, 11, 13}
a∩b = {10}
a∩b = {3}
a∩b = {5}
a∩b = {5, 15}

Explanation:

Step1: Recall intersection definition

The intersection of two sets \( A \) and \( B \), denoted \( A \cap B \), is the set of elements that are in both \( A \) and \( B \).

Step2: Identify common elements

Set \( A = \{5, 10, 15, 20, 25, 30, \dots\} \) (multiples of 5) and set \( B = \{1, 3, 5, 7, 9, 11, 13\} \). The only number common to both sets is 5.

Answer:

\( A \cap B = \{5\} \) (the option corresponding to this, e.g., if the options are labeled, it would be the option with \( A \cap B = \{5\} \))