2.B
2.The sum of two integers is ____ positive.
A.always
B.sometimes
C.never
Right.
A.always
The correct answer is B. sometimes.
Explanation: The sum of two integers can be positive if both integers are positive, or if one integer is positive and the other is negative. However, the sum of two integers can also be negative or zero, depending on the values of the integers. Therefore, the sum of two integers is not always positive, but it can be sometimes.
To determine the answer to this question, we need to consider the sum of two integers.
For this specific scenario, the question is asking whether the sum of two integers is always positive, sometimes positive, or never positive.
To tackle this question, let's first understand the possible combinations of adding two integers:
1. If we add two positive integers, the sum will always be positive.
Example: 3 + 2 = 5
2. If we add two negative integers, the sum will also be negative.
Example: (-5) + (-2) = (-7)
3. If we add a positive and a negative integer, the sum can be either positive or negative, depending on the magnitude of the integers.
Example: 4 + (-3) = 1 (positive)
(-2) + 6 = 4 (positive)
8 + (-9) = (-1) (negative)
Given these three scenarios, we can conclude that the sum of two integers is sometimes positive.
Therefore, the correct answer is B. Sometimes.