Q. 133.7( 6 Votes )

Solve the followi

Answer :

Given,



Subtracting 5 both side, we get





Hence, for above fraction be greater than 0, either both denominator and numerator should be greater than 0 or both should be less than 0


6 – 33x > 0 and 7x – 1 > 0


33x < 6 and 7x > 1


and


[1]


Or


6 – 33x < 0 and 7x – 1 < 0


33x > 6 and 7x < 1


and


[not possible as ]


Also,



Subtracting 2 both sides, we get





Hence, for above fraction be greater than 0, either both denominator and numerator should be greater than 0 or both should be less than 0


23 – x > 0 and x – 8 > 0


x < 23 and x > 8


8 < x < 23 [2]


Or


23 – x < 0 and x – 8 < 0


x > 23 and x < 8


23 < x < 8 [Not possible, as 23 > 8]


From [1] and [2], it is clear that there is no solution satisfying both inequalities, hence the given system has no solution


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