Answer:
False; the scenario is not possible.
Step-by-step explanation:
This scenario is not possible. I will demonstrate it by representing a number by [tex]x[/tex]. There are two possibilities: [tex]x[/tex] and [tex]-x[/tex]. Let's try both:
[tex]x + |x|[/tex]
[tex]x + x[/tex]
[tex]2x[/tex]
The sum for positive [tex]x[/tex] and its absolute value is not negative. Let's try with the negative value of [tex]x[/tex] now:
[tex]-x +|-x|[/tex]
[tex]-x + x[/tex]
[tex]0[/tex]
The sum for negative [tex]x[/tex] and its absolute value is not negative either, it is zero which is neither negative or positive. Therefor, we can safely say that the scenario described is not possible.
