Question

4^{x-1} + 4^{x} - 4^{x+1} > - 11/4

Answer 1

$4^{x-1} + 4^{x} - 4^{x+1} \ \textgreater \ - 11/4\\ \\ 4^x\left(4^{-1}+1-4\right)\ \textgreater \ - 11/4\\ \\ 4^x\cdot \dfrac{-11}{4}\ \textgreater \ - 11/4\\ \\ 4^x\ \textless \ 1\\ \\ \boxed{x\ \textless \ 0}$