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Rewrite the following statement in the form {p} if only if{q}:
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Rewrite the following statement in the form if only if For you to get an A grade, it is necessary and sufficient that you do all the homework you regularly.

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Practice questions from similar books

Question 1
Which of the following sentences are statements? Give reasons for your answer
(i) There are days in a month
(ii) Mathematics is difficult
(iii) The sum of and is greater than
(iv) The square of a number is an even number
(v) The sides of a quadrilateral have equal length
(vi) Answer this question
(vii) The product of and is
(viii) The sum of all interior angles of a triangle is 
(ix) Today is a windy day
(x) All real numbers are complex numbers

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Question 2
Cheek whether Or used in the following compound statement is exclusive or inclusive? Write the component statements of the compound statements and use them to check whether the compound statement is true or not. Justify your answer. t: you are wet when it rains or you are in a river.

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Question 3
Identify the quantifier in each of the following statements: (i)For every real number is greater then (ii)There exists a real number which is twice of itself. (iii)There exists a (living) person who is 200 years old. (iv)For every

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Question 4
Write the negation of the following statements:
(i) p : For every positive real number the number is also positive
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(iii) r : For every real number , either or
(iv) s : There exist a number such that

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Question Text
Rewrite the following statement in the form if only if For you to get an A grade, it is necessary and sufficient that you do all the homework you regularly.