Determine if A and B are Mutually Exclusive A=(1,2,30) , B=(1,10,3)

Problem

A={1,2,30},B={1,10,3}

Solution

1. Identify the definition of mutually exclusive sets. Two sets are mutually exclusive if they have no elements in common, meaning their intersection is the empty set.

2. Find the intersection of sets A and B by looking for elements that appear in both sets.

3. Compare the elements. Both set A and set B contain the number 1

4. Determine the intersection result. Since 1∈A and 1∈B the intersection is not empty.

A∩B={1}

5. Conclude based on the intersection. Because A∩B≠∅ the sets are not mutually exclusive.

Final Answer

A∩B={1}⇒Not Mutually Exclusive

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