How do you prove De Morgans 2nd law using venn diagram?

Answer 1

To prove De Morgan's second law, which states that the complement of the intersection of two sets is equal to the union of their complements (( (A \cap B)' = A' \cup B' )), we can use a Venn diagram. In the diagram, shade the area representing ( A \cap B ) to show where both sets overlap. The area outside this intersection represents ( (A \cap B)' ), which includes everything outside both ( A ) and ( B ). This shaded area corresponds to the regions of ( A' ) and ( B' ), confirming that ( (A \cap B)' ) indeed equals ( A' \cup B' ).