Let U denote the set of all employees in a hospital. Let N={x∈U|x is a nurse } D={x∈U|x

step 1 Consider the following two sets. T corresponds to the set of people that drink tea, and C corres

Let U denote the set of all employees in a hospital. Let ...

Let $U$ denote the set of all employees in a hospital. Let $$ \begin{array}{l} \boldsymbol{N}=\{\boldsymbol{x} \in \boldsymbol{U} \mid \boldsymbol{x} \text { is a nurse }\} \\ \boldsymbol{D}=\{\boldsymbol{x} \in \boldsymbol{U} \mid \boldsymbol{x} \text { is a doctor\} } \\ \boldsymbol{A}=\{\boldsymbol{x} \in \boldsymbol{U} \mid \boldsymbol{x} \text { is an administrator\} } \\ \boldsymbol{M}=\{\boldsymbol{x} \in \boldsymbol{U} \mid \boldsymbol{x} \text { is a male\} } \\ \boldsymbol{F}=\{\boldsymbol{x} \in \boldsymbol{U} \mid \boldsymbol{x} \text { is a female }\} \end{array} $$ Describe each set in words. a. $N \cup D$ b. $N \cap M$

Let $U$ denote the set of all employees in a hospital. Let
$$
\begin{array}{l}
\boldsymbol{N}=\{\boldsymbol{x} \in \boldsymbol{U} \mid \boldsymbol{x} \text { is a nurse }\} \\
\boldsymbol{D}=\{\boldsymbol{x} \in \boldsymbol{U} \mid \boldsymbol{x} \text { is a doctor\} } \\
\boldsymbol{A}=\{\boldsymbol{x} \in \boldsymbol{U} \mid \boldsymbol{x} \text { is an administrator\} } \\
\boldsymbol{M}=\{\boldsymbol{x} \in \boldsymbol{U} \mid \boldsymbol{x} \text { is a male\} } \\
\boldsymbol{F}=\{\boldsymbol{x} \in \boldsymbol{U} \mid \boldsymbol{x} \text { is a female }\}
\end{array}
$$
Describe each set in words.
a. $N \cup D$
b. $N \cap M$

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Key Concepts

Set Union

The union of two sets is a fundamental concept in set theory. It refers to the collection of all elements that belong to at least one of the sets involved. When we take the union of two sets, every element that is in the first set, or in the second set, or in both, is included in the resulting set.

Set Intersection

The intersection of two sets is another basic concept in set theory. It represents the collection of all elements that are common to both sets, meaning that an element is included in the intersection only if it is present in each of the sets being considered.

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