Question

|y+4|<1

Answer 1

This being an inequality lets solve this yet again step by step :)!

Answer 2

So first we know, y + 4 < 1 and y + 4 > -1

Answer 3

ok you going to have to be patient with me because i really dont know how to solve this one

Answer 4

Alright.

Answer 5

y + 4 < 1 (Condition 1 :)), First you subtract 4 from both sides which would look like this -> y + 4 - 4 < 1 - 4

Answer 6

Which means what is the answer? :)

Answer 7

For part 1.

Answer 8

so im subtracting 1 from -4?

Answer 9

Well what is 1 - 4, use a calculator if you need :)

Answer 10

-3

Answer 11

Yes correct so... What would your final answer for that condition be?

Answer 12

y+4<1=-3?

Answer 13

No. as 4 -4 removes 4 from y so y becomes y < ??, remove the 1 =
Because that is not part of the final answer and it makes no sense for that to be in the answer.

Answer 14

so y becomes y<-3

Answer 15

That is actually your answer for condition 1, now lets move onto condition 2!

Answer 16

Which is y +4 > -1

Answer 17

ok

Answer 18

I will write it out you solve it, y + 4 - 4 > -1 - 4, So your answer for this part would be?

Answer 19

Keep in mind everyone knows what 4 - 4 is 0 so there will be nothing leaving you with y >

Answer 20

Now you solve the right side :)!

Answer 21

-5

Answer 22

-5<y ?

Answer 23

You explained it sooo much better than i would have. or could have for that matter. @DivineSolar :)

Answer 24

@DivineSolar

Answer 25

@honeyy16 Sorry my computer crashed, and @PressureGaming yeah i try my best to explain.

Answer 26

And no it would be y > -5 giving you the answer of y < -3 and y > -5
Attached a line plot below as well for it.