Question

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

Answer 1

Step-by-step explanation:

100- 178 will be answer

Answer 2

Answer:

The correct answer will be

The reciprocal of each number between 0 and 1 will be greater than the number itself.

Step-by-step explanation:

Let's say the number is x

Now x should belong to the interval (0, 1)

x ∈ (0,1)

Now the x should be according to the question -

$0 < x < 1$

Now if we take reciprocal the signs will change -

$\frac{1}{0} > \frac{1}{x} > \frac{1}{1}$

or,

$\frac{1}{1} < \frac{1}{x} < \frac{1}{0}$

$1 < \frac{1}{x} < \infty$

Now we can see that 1/x belongs to an interval (1, $\infty$)

So we see that whatever the value of x interval (0, 1) its reciprocal value will be more than the number itself.

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