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Prove that any two expression is equal or not
 
A = { }
B = { }
C = { }
U = { }
 
 
Find :
  1. `A uu (B uu C)=(A uu B) uu C`
  2. `A ∩ (B ∩ C)=(A ∩ B) ∩ C`
  3. `A ∩ (B uu C)=(A ∩ B) uu (A ∩ C)`
  4. `A uu (B ∩ C)=(A uu B) ∩ (A uu C)`
  5. `(A uu B)'=A' ∩ B'`
  6. `(A ∩ B)'=A' uu B'`
  7. `A - (B uu C)=(A - B) ∩ (A - C)`
  8. `A - (B ∩ C)=(A - B) uu (A - C)`
  9. `A × (B uu C)=(A × B) uu (A × C)`
  10. `A × (B ∩ C)=(A × B) ∩ (A × C)`
  11. `A''=A`
  12. `A' - 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};
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