In a classroom, there are 10 students who play basketball, 8...

Question

In a classroom, there are 10 students who play basketball, 8 students who play soccer, and 3 students who play both sports. If the universal set U represents all students in the class, and set H represents the students who play basketball, and set I represents the students who play soccer, how many students are in the complement of (HI)? The number of students in the complement of (HI) is ________.

Question Analysis
This question tests the student's understanding of the union of two sets and the complement of the union, applied to a real-world scenario.

Key Concept Explanation
The union of two sets A and B (A B) includes all elements that are in A, in B, or in both. The complement of this union (A B)' includes all elements in the universal set U that are not in A B.

Step-by-step Solution
1. Identify the number of students who play basketball (H): 10
2. Identify the number of students who play soccer (I): 8
3. Identify the number of students who play both sports: 3
4. Calculate the number of students in H <...

Algebra-1

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