How do you solve 6| y + 4| + 8> - 40?

1 Answer
Jul 22, 2017

y<4 or y> -12

Explanation:

6abs(y+4)+8 > -40
6abs(y+4) > -48
abs(y+4) > -8

We know that abs(5)=(5)=5 ,where5>0
abs(-5)=-(-5)=5,where -5<0

So,abs(x), if x>0, then abs(x)=x
if x<0, thenabs(x)=-(x)
You get the point.

We don't know whether (y+4) is positive or negative.
So we will break it into two cases.

Case1: (y+4)>0
Then,y+4> -8
y> -12

OR

Case 2: (y+4)< 0
Then, -y-4> -8
y<4

So, the answer is y<4 or y> -12