Question

If x is an integer, then is -x positive?

Answer 1

If x is an integer, then for values of x ≤ 0 would -x be positive.

General Formulas and Concepts:

Math

• Integers

Explanation:

We know that integers comprise of the number line from -∞ to ∞. We can have numbers like -3, -2, -1, 0, 1, 2 ,3.

If we say that x is an integer, and that -x must be positive, then that means the integer x must be negative, because a negative times a negative is a positive.

∴ x can only be negative integers, thus giving us x ≤ 0.