$2^{y}+2(3^{y}) > 3(4^{y})$ and $y=3x^2+2x-2$
Which of the following is a possible value of $x$?
$A -1.5 $
$B-2.5 $
$C -0.5 $
$D+0.7 $
$E+1.2$
$********$
I could just conclude from the $1st$ inequality that $y∊(-∞, 0)$ Should I put values of $y$ e.g. $-1, -2$ and then check or is there some other way?
I couldn't approach further. Please help.