I wanted to negate the statement "B union C is an independent set", would the negation turn the statement into "B intersection C is a dependent set" (changing the union to intersection) or would its negation be "B union C is a dependent set" (leaving the union as is). It makes more sense to me logically that the set remains a union. But, based on how i remember doing negation (reverse everything) i should turn it into an intersection.

Thanks.