🧪 Practice: Apply Set Laws with Venn Diagrams
Sample Space S =
{1,2,3,4,5,6,7,8,9}
E₁ =
{1, 3, 5, 6}
E₂ =
{2, 3, 6, 7, 9}
E₃ =
{1, 4, 6, 8, 9}
Choose a Set Law to Practice:
Mutually Exclusive: E₁ ∩ E₂ = ∅
Double Complement: (E₁′)′ = E₁
DeMorgan: (E₁ ∪ E₂)' = E₁' ∩ E₂'
DeMorgan: (E₁ ∩ E₂)' = E₁' ∪ E₂'
Distributive: (E₁ ∪ E₂) ∩ E₃ = (E₁ ∩ E₃) ∪ (E₂ ∩ E₃)
Distributive: (E₁ ∩ E₂) ∪ E₃ = (E₁ ∪ E₃) ∩ (E₂ ∪ E₃)
Check Your Answer
Try to compute the LHS and RHS yourself before clicking the button!