The negative i-adjectives (in both nonpast and past) have two forms.

暑くないです(It is not hot.)(Lesson 2) ＝ 暑くありません(It is not hot.)

寒くなかったです(It was not cold.)(Lesson 5) ＝ 寒くありませんでした(It was not cold.)

The following shows how to express a concern for the person spoken to using the negative question, and how to answer that question. Although the question is negative in form, it does not have a negative meaning; therefore, the answer is はい／ええ、Aいです if one wishes to confirm the other person's concern. If one wishes to assure that s/he is all right, the answer is いいえ、A(い)-くありません(だいじょうぶです[I'm OK; I'm all right]).

A(い)-くありませんか is an indirect and polite equivalent of Aいでしょう↑.

The other negative form, A(い)-くないですか, can be used in the same way. Na-adjectives and nouns are also used in the same way.