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State whether the following pairs of set...

State whether the following pairs of sets are equal or not :
A = {PUPPET}, B={P,U,E,T}

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To determine whether the sets A and B are equal, we need to analyze their elements. 1. **Identify the elements in Set A**: - Set A is given as \( A = \{ P, U, P, E, T \} \). - When we list the unique elements, we have: \( P, U, E, T \). 2. **Identify the elements in Set B**: - Set B is given as \( B = \{ P, U, E, T \} \). - The elements in Set B are already unique: \( P, U, E, T \). 3. **Compare the elements of both sets**: - Set A has the unique elements: \( P, U, E, T \). - Set B has the unique elements: \( P, U, E, T \). 4. **Conclusion**: - Since both sets A and B contain the same unique elements, we can conclude that \( A = B \). Thus, the answer is that the sets A and B are equal.
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