Home > Algebra calculators > Set Theory - Prove that any two expression is equal or not

Method and examples
Select Operation

Prove that any two expression is equal or not

 A = { } B = { } C = { } U = { }

 Find : A uu (B uu C)=(A uu B) uu CA ∩ (B ∩ C)=(A ∩ B) ∩ CA ∩ (B uu C)=(A ∩ B) uu (A ∩ C)A uu (B ∩ C)=(A uu B) ∩ (A uu C)(A uu B)'=A' ∩ B'(A ∩ B)'=A' uu B'A - (B uu C)=(A - B) ∩ (A - C)A - (B ∩ C)=(A - B) uu (A - C)A × (B uu C)=(A × B) uu (A × C)A × (B ∩ C)=(A × B) ∩ (A × C)A''=AA' - B'=B - A
1. A = {x<=5; x in N}; B = {2<=x<=8; x in N}; C = {x<=3; x in N};
2. A = {x^2<10; x in N}; B = {x<=1; x in N}; C = {1<=x<5; x in N};
3. A = {1,2,3,4}; B = {3,4,5}; C = {1,3,5};
4. A = {1,2,3,4}; B = {3,4,9,11}; C = {2,11,18,22};
5. A = {2,3,6}; B = {3,5,6}; U = {1,2,3,4,5,6};
6. A = {x<=9; x in N}; B = {3<=x<=7; x is odd}; C = {1<x<7; x is even};
7. A = {1,2,3}; B = {2,3};
8. A = {|x^3-2|<=25;x in N}; B = {1<x<5; x in N}; C = {x^4=81;x in N};
9. A = {x^2-1 < 10;x in Z}; B = {|x-1|<2; x in N}; C = {|x|<=1;x in Z};
10. A = {x^2<10; x in N}; B = {2,4,6}; C = {x^3-3x^2-4x=0}; U = {x<=10;x in N};
SolutionHelp