Question

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

Answer 1

Answer:

the pair of statements is correct of each other. the reason behind this is : due the commutativity property of addition....

Step-by-step explanation:

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Answer 2

Answer:

Let p: x+y=y+x is true for every real number y and x.

~p:there exist a real number y and x such that y+x not equal to x+y.

Let q:There exist real numbers y and x for which x+y=y+x

~q:for all real numbers x and y for which x+y not equal to y+x again p is not equal to ~q.

Hence,True statements are not negation of each other.

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