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CBSE Class 11-science Answered

{x belongs to R : 0< x< 1} explain why it is infinite set
Asked by govtsecschoolnayaganv051 | 14 Apr, 2018, 03:21: PM
answered-by-expert Expert Answer
Here, The value of x is greater than 0 and less than 1 means x ≠ 0, 1
0 and 1 are Rational Numbers, as they can be expressed in the form of p⁄q.
0 = 0/1 and 1 = 1/1,  where 1 is an Integer.
 
As we know,
 
Between any two Rational Numbers there are infinitely many Rational Numbers.
and the set of Rational Numbers is a Subset of Real Numbers.

Therefore, 

{x belongs to R : 0< x< 1}  is infinite set.


Answered by Yasmeen Khan | 14 Apr, 2018, 06:26: PM

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