QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
# Homework: 8.1
Score: 0 of 1 pt
## 8.1.41
Let $U=\{a, b, c, d, e, f, 13,14,15,16,17,18\}, X=\{a, b, c, 13,14,15\}$, and $Y=\{b, d, f, 14,16,18\}$.
List the members of the set $X^{\prime} \cap Y^{\prime}$, using set braces.
$X^{\prime} \cap Y^{\prime}=[]$
(Use a comma to separate answers as needed.)
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Answer
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Step 1: Find the complement of set X, denoted as $X'$.
X' = U - X = \{a, b, c, d, e, f, 13, 14, 15, 16, 17, 18\} - \{a, b, c, 13, 14, 15\} = \{d, e, f, 16, 17, 18\}
The complement of a set contains all the elements in the universal set that are not in the original set. In this case, the universal set is U and the original set is X.
Step 2: Find the complement of set Y, denoted as $Y'$.
Y' = U - Y = \{a, b, c, d, e, f, 13, 14, 15, 16, 17, 18\} - \{b, d, f, 14, 16, 18\} = \{a, c, e, 13, 15, 17\}
Final Answer
X' \cap Y' = \{e, 17\}
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