Question
Given \( U=\{a, b, c, d, e, f, g, h, i\} \) and \( A=\{b, d, e, h\} \), find \( A^{\prime} \). \( O\{a, c, f, g, i\} \) \( \{a, b, c, f, g, i\} \) \( \{a, c, f\} \) \( \{\} \)
Ask by Guerrero Young. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( A^{\prime} = \{a, c, f, g, i\} \)
Solution
The complement A′ is defined as the set of all elements in U that are not in A. Given:
U = {a, b, c, d, e, f, g, h, i}
A = {b, d, e, h}
Subtracting A from U, we get:
A′ = {a, c, f, g, i}
Thus, the correct answer is {a, c, f, g, i}.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
To find \( A^{\prime} \), which represents the complement of the set \( A \) with respect to the universal set \( U \), we need to identify the elements in \( U \) that are not in \( A \). Given: - \( U=\{a, b, c, d, e, f, g, h, i\} \) - \( A=\{b, d, e, h\} \) By removing the elements of \( A \) from \( U \), we get: \( A^{\prime} = U - A = \{a, c, f, g, i\} \). So, the correct answer is \( \{a, c, f, g, i\} \).
