Number Properties: Analyzing Two Numbers with Positive Sum

Question

The sum of two numbers is positive.

Therefore, the two numbers are...?

Step-by-Step Solution

Testing through trial and error:

 

Let's assume both numbers are positive: 1 and 2.

1+2 = 3

Positive result.

 

Let's assume both numbers are negative -1 and -2

-1+(-2) = -3

Negative result.

 

Let's assume one number is positive and the other negative: 1 and -2.

1+(-2) = -1

Negative result.

Let's test a situation where the value of the first number is greater than the second: -1 and 2.

2+(-1) = 1

Positive result.

 

That is, we can see that when both numbers are positive, or in certain types of cases when one number is positive and the other negative, the sum is positive.

Answer

Answers a+c are correct.