Find the Intersection of the Sets {-2} , {-1}

Problem

{−2}∩{−1}

Solution

1. Identify the sets involved in the operation. The first set is A={−2} and the second set is B={−1}

2. Apply the definition of the intersection of two sets, which is the set containing all elements that are common to both sets.

3. Compare the elements of both sets. Set A contains only −2 and set B contains only −1

4. Determine if there are any shared elements. Since −2≠−1 there are no elements present in both sets.

5. Conclude that the intersection is the empty set, denoted by ∅ or {}

Final Answer

{−2}∩{−1}=∅

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