• 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 $((-5, 4)\cup (7,9])\cap(0,10].$
    $(0,4)\cup(7,9)$
    $(0,4]\cup[7,9]$
    $[0,4]\cup(7,9]$
    $(0,4)\cup(7,9]$