Fill in the blanks to make each of the following a true statement:

Question:

Fill in the blanks to make each of the following a true statement:

(i) 

(ii) Φ′ ∩ A = …

(iii) 

(iv) 

Solution:

(i) 

(ii) Φ′ ∩ A = U ∩ A = A

∴ Φ′ ∩ A = A

(iii) A ∩ A′ = Φ

(iv) U′ ∩ A = Φ ∩ A = Φ

∴ U′ ∩ A = Φ

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