A collection contains at least two distinct points in a plane. Consider the statement:
Every point in the collection has another point in the collection less than unit away, and another point in the collection more than units away.
Which of the following is the logical negation of this statement? In each option, “other points” means other points in the collection.
AThere is a point for which every other point is at least unit away and every other point is at most units away.
BFor every point, either every other point is at least unit away or every other point is at most units away.
CThere is a point with another point at least unit away and another point at most units away.
DThere is a point for which either every other point is at least unit away or every other point is at most units away.
EThere is a point for which either every other point is more than unit away or every other point is less than units away.