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Rational Numbers between Two Rational Numbers

Between any t...

Question

Between any two rational numbers there are exactly ten rational numbers. State whether the statement is true (T) or false (F).

A

True

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B

False

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Solution

The correct option is B False

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Q. Question 76
Between any two rational numbers there are exactly ten rational numbers.

Q. State true or false:
(i) Between any two distinect integers there is always an linteger.
(ii) Between any two distinct rational numbers there is always a rational number.
(iii) Between any two distinct rational numbers there is always a rational number.

State whether the following statements are true or false:

(a) The set of all even natural numbers is a infinite set.

(b) Every non-empty subset of has the smallest element.

(c) Every integer can be identified with a rational number.

(d) For each rational number, one can find the next rational number.

(e)There is no largest rational number.

(f) Every integer is either even or odd.

(g) Between any two rational numbers, there is an integer.

Q. State whether the following statements are true or false? Justify your answer.
(i) There are infinitely many integers between any two integers.
(ii) Number of rational numbers between 15 and 18 is finite.

Q. Question 76
Between any two rational numbers there are exactly ten rational numbers.

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