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Question -

Write the negation of each of the following statements:
(i) For every x тИИ N, x + 3 > 10
(ii) There exists x тИИ N, x + 3 = 10



Answer -

(i) For every x тИИ N, x + 3 > 10
The negation of the statement is
тАЬThere exist x тИИ N, such that x + 3 тЙе 10.тАЭ
(ii) There exists x тИИ N, x + 3 = 10
The negation of the statement is
тАЬThere exist x тИИ N, such that x + 3 тЙа 10.тАЭ

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