De Morgan’s laws for sets – UGC NET Question

Statements A and B give the two De Morgan identities for complements of unions and intersections. Statement C correctly notes that these laws link complements with union and intersection operations. Statement D is also true because the universal set’s complement is the empty set relative to that universe. Statement E is false since similar De Morgan laws hold for logical connectives “and” and “or”. Thus A, B, C and D only are correct.

Option A:
Option A is correct because it gathers all the true statements and excludes E, which wrongly denies the logical counterpart of De Morgan’s laws.

Option B:
Option B is incomplete as it omits D (complement of universal set).

Option C:
Option C is wrong because it includes E (false).

Option D:
Option D is wrong because it includes E (false) and omits A (one of the two key identities).