A) \( \Large a<1 \) |
B) \( \Large a<-1 \) |
C) \( \Large a>1 \) |
D) none of these |
B) \( \Large a<-1 \) |
\( \Large log_{\frac{1}{4}} \left(a^{2}-1\right) < log_{ \left(\frac{1}{4}\right) } \left(a+1\right)^{2} \)
=> \( \Large a^{2}-1 > \left(a+1\right)^{2} \)
=> \( \Large a^{2}-1 > a^{2}+1+2a \)
=> \( \Large 2a + 2 < 0 => a < -1 \)