State true or false: (i) Between any two distinct integers there is always an integer. (ii) Between any two distinct rational numbers there is always a rational number. (iii) Between any two distinct rational numbers there are infinitely many rational numbers.
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1. false, because between any two distinct integars not necessary to be one integar.
2.True, because according to the property of rational numbers between any two distinct rational numbers there is always a rational numbers.
3.True, According to the property of rational numbers between any two distinct rational numbers there are infinitely many rational numbers.
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Explanation: Between any two distinct integers not necessary to be one integer. Explanation: According to the properties of rational numbers between any two distinct rational numbers there is always a rational number
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