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11 Section D: Set Theory [20] Question 7: 7.1 Let the universal set be $ \mathbb{R} $ of all real numbers and let $ A=\{x \in \mathbb{R} \mid-3 \leq x \leq 0\} $, $ B=\{x \in \mathbb{R} \mid-1<x<2\} $ and $ C=\{x \in \mathbb{R} \mid 6<x \leq 8\} $. Find each of the following: 7.1.1 $ A \cup B $ 7.1.2 $ A \cap C $ (1) 7.1.3 $ A^{c} $ (1) 7.1.4 $ B^{c} $ (1) 7.1.5 $ A^{c} \cap B^{c} $ (1) 7.2 Indicate which of the following relationships are true and which are false: (6) \begin{tabular}{|l|l|} \hline Statement & True or False \\ \hline $ \mathbf{Z}^{+} \subseteq \mathbb{Q} $ & \\ \hline $ \mathbf{Q} \cap \mathbf{R}=\mathbf{Q} $ & \\ \hline \end{tabular}

          11

Section D: Set Theory

[20]

Question 7:
7.1 Let the universal set be \( \mathbb{R} \) of all real numbers and let \( A=\{x \in \mathbb{R} \mid-3 \leq x \leq 0\} \), \( B=\{x \in \mathbb{R} \mid-1<x<2\} \) and \( C=\{x \in \mathbb{R} \mid 6<x \leq 8\} \). Find each of the following:
7.1.1 \( A \cup B \)
7.1.2 \( A \cap C \)

(1)
7.1.3 \( A^{c} \)

(1)
7.1.4 \( B^{c} \)

(1)
7.1.5 \( A^{c} \cap B^{c} \)

(1)
7.2 Indicate which of the following relationships are true and which are false:

(6)

\begin{tabular}{|l|l|}
\hline Statement & True or False \\
\hline \( \mathbf{Z}^{+} \subseteq \mathbb{Q} \) & \\
\hline \( \mathbf{Q} \cap \mathbf{R}=\mathbf{Q} \) & \\
\hline
\end{tabular}

$11 Section D: Set Theory [20] Question 7: 7.1 Let the universal set be ℝ of all real numbers and let A={x ∈ℝ|-3 ≤ x ≤ 0}, B={x ∈ℝ|-1<x<2} and C={x ∈ℝ| 6<x ≤ 8}. Find each of the following: 7.1.1 A ∪ B 7.1.2 A ∩ C (1) 7.1.3 A^c (1) 7.1.4 B^c (1) 7.1.5 A^c∩ B^c (1) 7.2 Indicate which of the following relationships are true and which are false: (6) Statement True or False 𝐙^+⊆ℚ 𝐐∩𝐑=𝐐$

Added by Karen F.

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