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Class 11: Mathematical Reasoning – Exercise 31.4

Question 1: Write the Negation of each of the following statements:

(i) For every

(ii) There Exists

Answer:

(i) For every

Negation of the given statement: There exists a number such that

(ii) There exists

Negation of the given statement: For every

Question 2: Negate each of the following statements:

(i) All the students completed their homework.

(ii) There exists a number which is equal to its square

Answer:

(i) All the students completed their homework.

Negation of the given statement: Some students did not complete their homework.

(ii) There exists a number which is equal to its square

Negation of the given statement: There exists a number which is not equal to its square.



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Class 11: Mathematical Reasoning – Exercise 31.4

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