Complement Calculator

Calculate absolute and relative complements of sets with De Morgan's Laws verification.

Define Sets

Universal Set U

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Set A

A = {2, 4, 6, 8}

Set B

B = {1, 3, 5, 7}

A - B (A minus B):

{2, 4, 6, 8}

B - A (B minus A):

{1, 3, 5, 7}

A' (Complement of A):

{1, 3, 5, 7, 9, 10}

B' (Complement of B):

{2, 4, 6, 8, 9, 10}

(A ∪ B)' = A' ∩ B'VERIFIED

(A ∪ B)' = {9, 10}

A' ∩ B' = {9, 10}

(A ∩ B)' = A' ∪ B'VERIFIED

(A ∩ B)' = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A' ∪ B' = {1, 3, 5, 7, 9, 10, 2, 4, 6, 8}

(A')' = {2, 4, 6, 8}

(A')' = A: Verified!

(A')' = A

U' = ∅, ∅' = U

A ∪ A' = U