In a class of 30 students, 18 play basketball, 15 play socce...

Question Analysis
This question applies the concept of set union and intersection to a real-world scenario, requiring students to find the number of elements in the symmetric difference of two sets.

Key Concept Explanation
The number of students who play either basketball or soccer, but not both, can be found by calculating the symmetric difference of the two sets, which is .

Step-by-step Solution
1. Let be the set of students who play basketball and be the set of students who play soccer.
2. Calculate the union of sets and :

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Algebra-1

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