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Question -

Negate each of the following statements:
(i) All the students complete their homework.
(ii) There exists a number which is equal to its square.



Answer -

(i) All the students complete their homework.
The negation of the statement is
“Some of the students did not complete their homework.”
(ii) There exists a number which is equal to its square.
The negation of the statement is
“For every real number x, x2≠x.”

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