Question

Algebra 1B Question on Absolute value Equations,
I kinda need help on this and I don't fully understand it. |y+4|<1

Answer 1

if you have something like |x| < k, where k is some positive number, then it turns into -k < x < k

Answer 2

So that means

|y+4|<1

turns into

-1 < y+4 < 1

Answer 3

Subtract 4 from all sides to isolate y

Answer 4

Doing that gives you:

-1 < y+4 < 1

-1-4 < y+4-4 < 1-4

-5 < y + 0 < -3

-5 < y < -3 ... which means y is between -5 and -3 (not including either endpoint)

Answer 5

Wow ok that makes more sense now thankyou!

Answer 6

you're welcome