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UTK Notes


9.19.2023

Question 1: 1.Suppose you have sets $A$ and $B$ defined by $A = \{1,2,3,4 \}$ and $B = \{0,1,2,3\}$. Which one of the following set relations is true?

(3 points)

A. $A \subset B$
B. $B \subset A$
C. $A \bigtriangleup B = {0, 4}$
D. $A \cap B = {2, 3}$

Answer C. $A \bigtriangleup B = \{0, 4\}$

Question 2: Suppose $A = \{1, 2, 3, 4, 5, 7, 8, 10,11, 14, 17, 18\}$. How many subsets of A contain only odd integers?

(3 points)

A. 15
B. 31
C. 63
D. 127

Answer C. 63

Question 3: Which set below is nonempty?

(3 points)

A. All integers $x$ such that $3x+5=9$
B. All real numbers $x$ such that $x^{2}+6=4$
C. All irrational numbers $x$ such that $x^{2}+4=6$
D.All natural numbers $x$ such that $2x+7=3$

Answer C. All irrational numbers $x$ such that $x^{2}+4=6$

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