Question

l y + 4 l < 1

I know the answer ( -5 < y < -3 ) I just need to know the steps to get to that answer.

Answer 1

l y + 4 l < 1

what you do, since it is an absolute value you set it equal to 1 (the way it is now, and to -1
AND THEN solve each....
y + 4 < 1 or y + 4 > -1
subtract 4 from both sides in each of these.....

@leogrrl01, understand?

Answer 2

@SolomonZelman < is a conjunction NOT a disjunction

Answer 3

Let's start over.

Answer 4

I didn't know you had to make two separate ones. Thanks again :)

Answer 5

|x|< 3 means that x is a number that is less than 3 units from 0. Obviously, those numbers are between -3 and 3. So we write: -3<x<3

Answer 6

So for |y+4|<1 we know that y+4 must be between -1 and 1 and so we write:
-1<y+4<1
Now subtract 4 from all three parts of the inequality.

Answer 7

@Mertsj, so how is what I was getting different from what you got?

Answer 8

if you get -5<y<-3
Writing wise yes, but they understood how to do it..........

Answer 9

@SolomonZelman
AND THEN solve each....
y + 4 < 1 or y + 4 > -1
So y<-3 or y>-5
That is the solution your post leads to.
So the solution, according to you is all real numbers: