A) \[n>14\]or \[n<-2\]
B) \[-12<n<+12\]
C) \[n\ge 10,n\le -\,4\]
D) \[-15<n<+15\]
Correct Answer: C
Solution :
(c): Let smaller no be n, \[\therefore \] greater number\[=n+2\] \[\Rightarrow n(n+2)>[2(n+n+2)]+34\] \[\Rightarrow {{n}^{2}}+2n>4n+38>0\Rightarrow {{n}^{2}}-2n-38>0\] \[\Rightarrow roots\,\,are-5.24\,\,and\,\,7.24\] \[\therefore \] n (being an even integer) \[\in \left( -\infty ,-6 \right)\cup \left( 8,\infty \right)\] \[\therefore \left( n+2 \right)\in \left( \infty ,-4 \right)\cup \left( 10,\infty \right)\]
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