A) \[n<11\]
B) \[n=10\]
C) \[n=11\]
D) \[n>11\]
E) \[n<-11\]
Correct Answer: D
Solution :
Given inequality can be rewritten as \[{{x}^{2}}+2x+n-10>0\] ...(i) As we know, if\[ax+bx+c>0,\]then\[a>0\]and\[D<0\]. \[\therefore \]From Eq. (i),\[D<0\] \[\Rightarrow \] \[{{(2)}^{2}}-4(n-10)<0\] \[\Rightarrow \] \[4-4(n-10)<0\] \[\Rightarrow \] \[n-10>1\] \[\Rightarrow \] \[n>11\]
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