Problem

Let's consider two sets A and B given as follows: A = {1, 2, 3, 4, 5} and B = {6, 7, 8, 9, 10}. Are these two sets mutually exclusive?

Answer

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Answer

Step 3: Since the intersection of A and B is an empty set, we conclude that sets A and B are mutually exclusive.

Steps

Step 1 ：Step 1: Two sets are said to be mutually exclusive if their intersection is an empty set. In mathematical terms, A and B are mutually exclusive if A ∩ B = ∅.

Step 2 ：Step 2: Let's find the intersection of sets A and B. A ∩ B = {x: x ∈ A and x ∈ B}. As there are no common elements in sets A and B, the intersection of A and B is an empty set.

Step 3 ：Step 3: Since the intersection of A and B is an empty set, we conclude that sets A and B are mutually exclusive.

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