Need help on solving this absolute value inequality using interval notation!!
2|x +6| + 4 > 1
This doesn't really make any sense...
$\displaystyle |x + 6| \geq 0$ for all $\displaystyle x$.
So that means that
$\displaystyle 2|x + 6| \geq 0$ for all $\displaystyle x$
$\displaystyle 2|x + 6| + 4 \geq 4$ for all $\displaystyle x$.
Since it is always no less than 4, it must always be greater than 1...
So $\displaystyle x \in (-\infty, \infty)$...