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Which of the following statements is not true? 
  • a)
     When two positive integers are added, we always get a positive integer.
  • b)
    When two negative integers are added, we always get a negative integer.
  • c)
    When a positive integer and a negative integer are added, we always get a negative integer.
  • d)
    Additive inverse of an integer 2 is (-2) and additive inverse of (-2) is 2.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Which of the following statements is not true?a)When two positive inte...
**Explanation:**

The statement that is not true is option C: When a positive integer and a negative integer are added, we always get a negative integer.

**Reasoning:**

When we add a positive integer and a negative integer, the result can be either positive or negative depending on the values of the integers being added.

Let's consider some examples to understand this concept:

1. **Example 1:** Adding a positive integer and a negative integer with the same absolute value

- Positive integer: 5
- Negative integer: -5

When we add these two integers, we get:
5 + (-5) = 0

In this case, the sum is zero, not a negative integer.

2. **Example 2:** Adding a positive integer and a negative integer with different absolute values

- Positive integer: 7
- Negative integer: -3

When we add these two integers, we get:
7 + (-3) = 4

In this case, the sum is a positive integer, not a negative integer.

**Conclusion:**

Based on the above examples, we can see that when a positive integer and a negative integer are added, the result can be either positive, negative, or zero. Therefore, the statement in option C is not always true.
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Which of the following statements is not true?a)When two positive integers are added, we always get a positive integer.b)When two negative integers are added, we always get a negative integer.c)When a positive integer and a negative integer are added, we always get a negative integer.d)Additive inverse of an integer 2 is (-2) and additive inverse of (-2) is 2.Correct answer is option 'C'. Can you explain this answer?
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