Question

Fill in the blanks to make each of the following a true statement:
**(i) **$A ∪ A' = ...$
(ii) $\phi' ∩ A = ...$
(iii) $A ∩ A' = ...$
(iv) $U' ∩ A = ...$

Answer 1

**(i) **$A ∪ A' = U$

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(ii) $\phi′ ∩ A = U ∩ A = A$
$∴ \phi′ ∩ A = A$

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(iii) $A ∩ A′ = \phi$

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(iv) $U′ ∩ A = \phi ∩ A = \phi$
$∴ U′ ∩ A = \phi$