In a classroom, there are 15 students who like math, 10 stud...

Question

In a classroom, there are 15 students who like math, 10 students who like science, and 5 students who like both math and science. If the universal set U represents all 20 students in the class, find the number of students who do not like either math or science. The number of students who do not like either subject is ______.

Question Analysis
This question tests the student's ability to apply set theory to a real-world scenario. The number of students who do not like either math or science can be found by subtracting the number of students who like at least one subject from the total number of students.

Key Concept Explanation
The complement of a set A (A') relative to the universal set U is the set of all elements in U that are not in A.

Step-by-step Solution
1. Identify the number of students who like math: 15
2. Identify the number of students who like science: 10
3. Identify the number of students...

Algebra-1

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Answer & Analysis

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