Set operations De Morgan laws – UGC NET Question

Statements A and B are the precise symbolic forms of De Morgan’s laws for sets. E is also correct because it broadly describes the role of De Morgan’s laws in relating complements to unions and intersections. C and D are false since they swap union/intersection incorrectly: the complement of a union is an intersection of complements, and the complement of an intersection is a union of complements. Hence A, B and E only are correct.

Option A:
Option A is incomplete because it leaves out E and therefore omits the general conceptual summary of what De Morgan’s laws do.

Option B:
Option B is wrong because it adds C, which contradicts De Morgan’s law for complements of unions.

Option C:
Option C is correct as it selects exactly those statements that align with De Morgan’s laws and excludes C and D, which misuse union and intersection in the context of complements.

Option D:
Option D is incorrect since it omits A (a true De Morgan law), so it cannot be correct.