Which set includes both positive and negative numbers without fractions or decimals?

The correct choice encompasses both positive and negative whole numbers, along with zero, without including any fractions or decimals. Integers are defined as the set of all whole numbers, which includes the negative whole numbers, the positive whole numbers, and zero.

Natural numbers consist solely of positive whole numbers starting from 1 and do not include any negative numbers or zero. Whole numbers include all natural numbers along with zero but exclude all negative numbers. Rational numbers encompass all numbers that can be expressed as a fraction, including both positive and negative fractions as well as whole numbers. Therefore, the unique characteristic of integers being inclusive of both positive and negative values without involving fractions or decimals makes this the correct choice.