Subjects set theory

Set Definitions 5F1119

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1. The problem involves three sets: \(U\) is the set of whole numbers from 1 to 10, \(A\) is the set of multiples of 3, \(B\) is the set of factors of 6, and \(C\) is the set of odd numbers. 2. First, define each set explicitly: - \(U = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}\) - \(A = \{3, 6, 9\}\) because these are multiples of 3 within \(U\) - \(B = \{1, 2, 3, 6\}\) because these are factors of 6 within \(U\) - \(C = \{1, 3, 5, 7, 9\}\) because these are odd numbers within \(U\) 3. Important rules: - Multiples of a number \(n\) are numbers divisible by \(n\). - Factors of a number \(m\) are numbers that divide \(m\) without remainder. - Odd numbers are integers not divisible by 2. 4. You can use these sets to find intersections, unions, or complements as needed. Since the problem statement does not specify a particular operation or question, the sets are defined as above.