Question

Which statement is the negation?

A) At least one pot in the kitchen does not have a lid.
B) Not every pot in the kitchen has a lid.
C) All pots in the kitchen have a lid.
D) None of the pots in the kitchen have a lid.

Answer 1

The negation of 'All pots in the kitchen have a lid' is 'Not every pot in the kitchen has a lid,' which corresponds to answer option B.

Step-by-step explanation:

The student's question is asking for the negation of a certain statement concerning pots in a kitchen. Given a set of statements, the negation of a statement is the one that renders the original statement false by the inclusion of the word 'not' or a similar change that inverts its meaning. The original statement in this case is implied to be 'All pots in the kitchen have a lid.' Therefore, the negation of this statement would be 'Not all pots in the kitchen have a lid' since it implies that there is at least one pot without a lid, directly contradicting the original statement. The correct answer is B) 'Not every pot in the kitchen has a lid,' which is logically equivalent to the negation of the original statement.