Question

1. determine whether the sets shown are mutually exclusive or non mutually exclusive.

a = {prime numbers from 3 to 29 inclusive}
b = {multiples of 5 from 10 to 30}
○ mutually exclusive
○ non mutually exclusive

Explanation:

Step1: Define set A

$A = \{3, 5, 7, 11, 13, 17, 19, 23, 29\}$

Step2: Define set B

$B = \{10, 15, 20, 25, 30\}$

Step3: Check intersection

$A \cap B = \{5, 25\}$

Step4: Judge mutual exclusivity

Since $A \cap B
eq \emptyset$, sets are not mutually exclusive.

Answer:

non mutually exclusive