-x and +x are two distinct value? For example if someone say sum of two distinct value never become 0, which is false because -1 and 1 if you sum -1+1 is actually 0. Please clear my consept.

Yes, -x and +x are two distinct values. Here’s an explanation to clarify the concept:

1. **Distinct Values**: The term "distinct values" means that the values are different from each other. In this case, -x and +x are different because they have opposite signs. For instance, if \( x = 1 \), then \( -x = -1 \) and \( +x = 1 \). These are two different numbers, thus they are distinct.

2. **Sum of Distinct Values**: When we say that the sum of two distinct values can never be zero, this statement is false if the distinct values are negative and positive counterparts of the same number. For example, \( -1 \) and \( 1 \) are distinct values, but their sum is zero: 
   \[
   -1 + 1 = 0
   \]

3. **General Case**: Generally, the sum of two distinct numbers \( a \) and \( b \) is not zero. However, the exception to this rule is when \( a \) and \( b \) are negative and positive pairs of the same number, as shown above.

In summary, -x and +x are indeed distinct values, and their sum is zero, which is an exception to the general rule that the sum of two distinct values is non-zero.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

1. What are the properties of real numbers involving addition and subtraction?
2. How do you find the sum of two numbers algebraically?
3. Can the sum of two distinct non-zero values ever be zero?
4. What are the implications of distinct values in solving equations?
5. How do negative and positive values interact in mathematical operations?

**Tip**: When dealing with equations and sums, always consider the properties of the numbers involved, especially their signs and magnitudes.

Discover the concept of distinct values in mathematics with a focus on -x and +x. Learn how -x and +x are two distinct values and how their sum can sometimes be zero despite being distinct. Clear your concepts with examples and explanations.

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