সেট সংক্রান্ত তথ্যাবলি

❖ A U B = { 𝑥 : 𝑥 ∊ A or 𝑥  ∊  B } =  B U A

❖ A ∩ B = { 𝑥 : 𝑥 ∊ A and 𝑥 ∊  B } =  B ∩  A

❖ A B = { 𝑥 : 𝑥∊ A and 𝑥 ∉  B }

❖ A' = { 𝑥 : 𝑥 ∊ U and x ∉ A }

❖ A x B = {( 𝑥 , y ) : 𝑥 ∊ A and y ∊ B}

❖ A x (B U C) = (A x B) U (A x C)

❖ A x (B ∩ C) = (A x B) ∩ (A x C)

❖ A U(B ∩ C) = (A U B) ∩ (A U C)

❖ A ∩(B U C) = (A ∩ B) U (A U C)

❖ (A U B )' = A' ∩ B' 

❖ (A ∩ B )' = A' U B' 

❖ n(A U B) = n(A) + n(B) -(A ∩ B)

❖ n(A U B U C) = n(A) + n(B) + n(C) – n(A ∩ B) – n(B ∩ C) – n(C ∩ A)+ n( A∩ B∩ C)

❖ A U (B U C) = (A UB) U C = A UB U C

❖A ∩ (B ∩ C) = (A ∩ B) ∩ C = A ∩ B ∩ C