Getting wrong answer for absolute value inequality and not sure why The question:
The function p is defined by $-2|x+4|+10$. Solve the equality $p(x) > -4$
Here were my steps to solving this: 
1.) Subtract 10 from both sides -> $-2|x+4| > -14$
2.) Divide both sides by -2 -> $|x+4|>7$
3.) $x+4$ should therefore be 7 units or greater from zero on the number line, meaning either greater than 7 or less than -7:
$x+4 > 7$
$x+4 < -7$
4.) Subtract 4 from both sides:
$x > 3$
$x < -11$
Graphing this, I see my signs are the wrong way round but I'm not quite sure where I've gone wrong.

$-2|x+4|>-14$ implies that $|x+4|<7$ (the greater than becomes smaller than because you multiply by a negative number).
The rest is all good.
