This is kinda embarrassing but I'm having trouble with a fairly basic inequality. This is what I have so far:
x - 4/abs(x+2) < -1 x - 4 < -1(x+2)
case 1, if x+2 >= 0 or x >= -2
x - 4 < -x - 2 2x < 2 x < 1
so [-2, 1)
case 2, if x+2 < 0 or x < -2
x - 4 < -1*-(x+2) x - 4 < -1*(-x - 2) x - 4 < x + 2
and this is where I'm stuck, how can I solve for x? I know that the answer should be negative infinity up to but not including one so would something like this work:
0x < 6 x < 6/0, therefore x has to be infinity? Though it doesn't really show that it's negative infinity so I'm a bit confused.
Is there something really simple that I'm missing or am I going about it in a dumb way?