Need help on solving this absolute value inequality using interval notation!!

2|x +6| + 4 > 1

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- Jan 10th 2010, 04:58 PMBadMaterialInterval Notation
Need help on solving this absolute value inequality using interval notation!!

2|x +6| + 4 > 1 - Jan 10th 2010, 05:06 PMProve It
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 $\displaystyle x \in (-\infty, \infty)$... - Jan 10th 2010, 05:24 PMpomp
- Jan 10th 2010, 05:28 PMProve It
Thanks.

Edited.