Question

Let s be an Integer. Alonso claims that -s must always be less than zero. Iliana claims that -s is only sometimes less than zero. Whose statement is correct? Explain, support your reasoning with an example

Answer 1

Iliana's claim is correct

Step-by-step explanation:

If s is an integer.

Integers are positive or negative whole numbers.

• Illiana's claim is correct.

This is as a result of the fact that when s is negative: e,g s=-5

`\begin{gathered} s=-5 \\ -s=-(-5)=5 \\ 5\text{ is greater than 0} \end{gathered}`

However, when s is a positive integer:

`\begin{gathered} s=5 \\ -s=-5 \\ -5\text{ is less than 0} \end{gathered}`

Therefore, for an integer s, -s is only sometimes less than zero.

Illiana's claim is correct.