Check whether the following pair of statements are negation of each other. Give reasons for your answer.(i) `x + y = y + x`is true for every real numbers x and y.(ii) There exists real numbers x and y for which `x + y = y + x

Explanation

To determine whether the two statements are negations of each other, we need to analyze each statement carefully.

**Statement (i):** "x + y = y + x is true for every real numbers x and y."

**Statement (ii):** "There exists real numbers x and y for which x + y = y + x."

### Step 1: Understanding Statement (i)
The first statement asserts that the equation \( x + y = y + x \) holds true for all real numbers \( x \) and \( y \). This is a universal statement, meaning it applies to every possible pair of real numbers.
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