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Which of the following is a negation for “Given any real numbers a and b, if a a

ID: 3422671 • Letter: W

Question

Which of the following is a negation for “Given any real numbers a and b, if a and b are rational then a/b is rational.”

a) There exist real numbers a and b such that a and b are not rational and a/b is not rational.

                               

b) Given any real numbers a and b, if a and b are not rational then a/b is not

rational.

                               

c) There exist real numbers a and b such that a and b are not rational and a/b is rational.

                               

d) Given any real numbers a and b, if a and b are rational then a/b is not rational.

                               

e) There exist real numbers a and b such that a and b are rational and a/b is not rational.

                               

f) Given any real numbers a and b, if a and b are not rational then a/b is rational.

Explanation / Answer

(d) Given any real numbers a and b, if a and b are rational then a/b is not rational

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