The sum of a positive number and a negative number is always positive.
So:
Let:
a = arbitrary number where a>0
b = another arbitrary number where b<0
According to the conjecture:
a + b > 0
However, this isn't true because:
For example:
a = 2 ; 2>0
b = -8 ; -8 < 0
2 + (-8) > 0
2 - 8 > 0
-6 > 0 ------> This is false, therefore the conjecture is false
