Draw Venn diagrams for the following sets : (i)A∩(BUC)′ (ii) (AUBUC)′ Please notice the complement signs. Thank you.
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The union:
x ∈ B U C (x is an element of B U C) ⇔ x ∈ B or x ∈ C ⇔ x ∈ B ∨ x ∈ C
Absolute complement of the union:
x ∈ (B U C)' ⇔ x ∉ B U C ⇔ x ∉ B and x ∉ C ⇔ x ∉ B ∧ x ∉ C
x ∈ (A U B U C)' ⇔ x ∉ A U B U C ⇔ x ∉ A ∧ x ∉ B ∧ x ∉ C
x ∈ B U C (x is an element of B U C) ⇔ x ∈ B or x ∈ C ⇔ x ∈ B ∨ x ∈ C
Absolute complement of the union:
x ∈ (B U C)' ⇔ x ∉ B U C ⇔ x ∉ B and x ∉ C ⇔ x ∉ B ∧ x ∉ C
x ∈ (A U B U C)' ⇔ x ∉ A U B U C ⇔ x ∉ A ∧ x ∉ B ∧ x ∉ C
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