Question

reciprocal of each number between _________ and _________, will be greater than number itself​

Answer 1

Answer:

Numerator and denominator

Answer 2

SOLUTION

TO FILL IN THE BLANK

Reciprocal of each number between _________ and ________ will be greater than number itself

EVALUATION

Let x be the number

Then the reciprocal

$\displaystyle \sf{ = \frac{1}{x} }$

So by the given condition

$\displaystyle \sf{ \frac{1}{x} > x}$

$\displaystyle \sf{ \implies \: {x}^{2} < 1}$

$\displaystyle \sf{ \implies \: - 1 < x < 1}$

FINAL ANSWER

Reciprocal of each number between 0 and 1 will be greater than number itself

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