A) \[\left( -\sqrt{2},\sqrt{2} \right)\]
B) \[\left( -1,1 \right)\]
C) \[\left( -\infty ,-2 \right)\cup \left( 2,\infty \right)\]
D) \[\left( -\infty ,-1 \right)\cup \left( 1,\infty \right)\]
Correct Answer: A
Solution :
(a): \[{{x}^{2}}+\bcancel{2x}+1+{{x}^{2}}-\bcancel{2x}+1<6\] \[\Rightarrow 2{{x}^{2}}+2-6<0\Rightarrow {{x}^{2}}-2<0\]
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