Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org
  • Pre algebra
  • Sets
  • Operations with sets

Operations with sets

ans:
syntax error
C
DEL
ANS
±
(
)
÷
×
7
8
9
–
4
5
6
+
1
2
3
=
0
.
auto next question
evaluate answers
calculator
  • Question 1:
    1 pts
    		Let A={a,b,c,d}A=\{a, b, c, d\} and B={a,c,e}.B=\{a, c, e\}. Which of this following expresion is true?
    A∪B={b,d,e}A \cup B=\{b, d, e\}
    A∪B={a,b,d,e}A \cup B=\{a, b,d,e\}
    A∪B={a,b,c,d,e}A\cup B=\{a, b, c, d, e\}
    A∪B={a,c,d}A\cup B=\{a, c, d\}
  • Question 2:
    1 pts
    		If C={10,20,30,40,50}C=\{10, 20, 30, 40, 50\} and A={10,20,30}A=\{10, 20, 30\} then C∖A={40,50}C\setminus A=\{40, 50\}
  • Question 3:
    1 pts
    		Let A={1,2,3}A=\{1,2,3\} and the universal set U=NU=\mathbb{N}. Then Ac={A}^{c}=
    {0,4,5,6,7,8,9,⋯ }\{ 0, 4, 5, 6, 7, 8, 9,\cdots \}
    {4,5,6,7,8,9,⋯ }\{4, 5, 6, 7, 8, 9, \cdots \}
    {−4,−3,−2,−1,0,1,4,5,6}\{-4, -3, -2, -1, 0, 1,4, 5, 6\}
    {−4,−3,−2,−1,4,5,6}\{-4, -3, -2, -1, 4, 5, 6\}
  • Question 4:
    1 pts
    		Let A={5,10,15,20}A=\{5, 10, 15, 20\} and B={1,5,52}.B=\{1, 5, 5^{2}\}. Sets AA and BB are disjoint.
  • Question 5:
    2 pts
    		Which of this following expression is true?
    A∩∅=AA\cap\varnothing =A
    A∪∅=AA\cup\varnothing=A
    ∅∖A=A\varnothing \setminus A=A
    A∖∅=∅A\setminus \varnothing =\varnothing
  • Question 6:
    2 pts
    		Let A={a,b,c}A=\{a, b, c\} and B={x,y}.B=\{x, y\}. Which of this following expression is true?
    A×B={(a,x),(a,y),(b,x),(b,y),(c,x),(c,y)}A\times B=\{(a,x), (a,y), (b,x), (b,y),(c,x),(c,y)\}
    A×B={(x,a),(x,b),(x,c),(y,a),(y,b),(y,c)}A\times B=\{(x,a), (x,b), (x,c), (y,a),(y,b),(y,c)\}
  • Question 7:
    2 pts
    		Let A={10,11,12}A=\{10, 11, 12\} and B={11,12,13}B=\{11, 12, 13\} and C={12,13,15}C=\{12, 13, 15\}.
    Than (A∪B)∩C=(A\cup B)\cap C=
  • Question 8:
    3 pts
    		Let A={1,2,3}A=\{1,2,3\} and B={2,3,4}B=\{2,3,4\} and C={1,4,6}.C=\{1, 4, 6\}. Than (A∪B)∖C(A\cup B)\setminus C is

    {1,2,3,4}\{1, 2, 3, 4\}

    {2,3}\{2,3\}

    {1,4,6}\{1, 4,6\}

    {1,2,3}\{1, 2, 3\}

  • Question 9:
    3 pts
    		Let A={1,{1},{1,2}}A=\{1, \{1\}, \{1,2\}\} .Which of the following expression is true?
    1⊆A1\subseteq A and {1}⊆A\{1\}\subseteq A
    1∈A1\in A and {1}∈A\{1\} \in A
    2∈A2\in A and {1}∈A\{1\}\in A
    {1,2}⊆A\{1, 2\}\subseteq A
  • Question 10:
    3 pts
    		If A={1,2,3}A=\{1, 2, 3\} then the power of set AA is the set
    {∅,{1},{2},{3},{1,2},{1,3},{2,3}}\{\varnothing, \{1\},\{2\},\{3\},\{1, 2\},\{1, 3\},\{2, 3\} \}
    {{1},{2},{3},{1,2},{1,3},{2,3},{1,2,3}}\{ \{1\},\{2\},\{3\},\{1, 2\},\{1, 3\},\{2, 3\},\{1, 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∈R∣x2>4}A=\{x\in\mathbb{R}\mid x^{2}>4\} and B={x∈R∣x2>9}.B=\{x\in\mathbb{R}\mid x^{2}>9\}.
    Then B⊂AB\subset A
  • Question 12:
    3 pts
    		Find ((−5,4)∪(7,9])∩(0,10].((-5, 4)\cup (7,9])\cap(0,10].
    (0,4)∪(7,9)(0,4)\cup(7,9)
    (0,4]∪[7,9](0,4]\cup[7,9]
    [0,4]∪(7,9][0,4]\cup(7,9]
    (0,4)∪(7,9](0,4)\cup(7,9]

Sets

Whole numbers

Decimal numbers

Fractions

Absolute values

Percents, Ratos, Proportions