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• Pre algebra
• Sets
• Operations with sets

# Operations with sets

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•  Question 1: 1 pts Let $A=\{a, b, c, d\}$ and $B=\{a, c, e\}.$ Which of this following expresion is true?
 $A \cup B=\{b, d, e\}$ $A \cup B=\{a, b,d,e\}$ $A\cup B=\{a, b, c, d, e\}$ $A\cup B=\{a, c, d\}$
•  Question 2: 1 pts If $C=\{10, 20, 30, 40, 50\}$ and $A=\{10, 20, 30\}$ then $C\setminus A=\{40, 50\}$
•  Question 3: 1 pts Let $A=\{1,2,3\}$ and the universal set $U=\mathbb{N}$. Then ${A}^{c}=$
 $\{ 0, 4, 5, 6, 7, 8, 9,\cdots \}$ $\{4, 5, 6, 7, 8, 9, \cdots \}$ $\{-4, -3, -2, -1, 0, 1,4, 5, 6\}$ $\{-4, -3, -2, -1, 4, 5, 6\}$
•  Question 4: 1 pts Let $A=\{5, 10, 15, 20\}$ and $B=\{1, 5, 5^{2}\}.$ Sets $A$ and $B$ are disjoint.
•  Question 5: 2 pts Which of this following expression is true?
 $A\cap\varnothing =A$ $A\cup\varnothing=A$ $\varnothing \setminus A=A$ $A\setminus \varnothing =\varnothing$
•  Question 6: 2 pts Let $A=\{a, b, c\}$ and $B=\{x, y\}.$ Which of this following expression is true?
 $A\times B=\{(a,x), (a,y), (b,x), (b,y),(c,x),(c,y)\}$ $A\times B=\{(x,a), (x,b), (x,c), (y,a),(y,b),(y,c)\}$
•  Question 7: 2 pts Let $A=\{10, 11, 12\}$ and $B=\{11, 12, 13\}$ and $C=\{12, 13, 15\}$.
Than $(A\cup B)\cap C=$
•  Question 8: 3 pts Let $A=\{1,2,3\}$ and $B=\{2,3,4\}$ and $C=\{1, 4, 6\}.$ Than $(A\cup B)\setminus C$ is
 $\{1, 2, 3, 4\}$ $\{2,3\}$ $\{1, 4,6\}$ $\{1, 2, 3\}$
•  Question 9: 3 pts Let $A=\{1, \{1\}, \{1,2\}\}$ .Which of the following expression is true?
 $1\subseteq A$ and $\{1\}\subseteq A$ $1\in A$ and $\{1\} \in A$ $2\in A$ and $\{1\}\in A$ $\{1, 2\}\subseteq A$
•  Question 10: 3 pts If $A=\{1, 2, 3\}$ then the power of set $A$ is the set
 $\{\varnothing, \{1\},\{2\},\{3\},\{1, 2\},\{1, 3\},\{2, 3\} \}$ $\{ \{1\},\{2\},\{3\},\{1, 2\},\{1, 3\},\{2, 3\},\{1, 2,3\} \}$ $\{\varnothing, \{1\},\{2\},\{3\},\{1, 2\},\{1, 3\},\{2, 3\},\{1, 2,3\} \}$
•  Question 11: 3 pts Let $A=\{x\in\mathbb{R}\mid x^{2}>4\}$ and $B=\{x\in\mathbb{R}\mid x^{2}>9\}.$ Then $B\subset A$
•  Question 12: 3 pts Find $((-5, 4)\cup (7,9])\cap(0,10].$
 $(0,4)\cup(7,9)$ $(0,4]\cup[7,9]$ $[0,4]\cup(7,9]$ $(0,4)\cup(7,9]$