Question

Solve the inequality:
1-4|n+2|<-23

Answer 1

Would i subtract 1 to the other side or subtract it with 4 first?

Answer 2

the -4 is being multiply to |n+2| so u cant subtract 1frm the -4....
however you can subtract 1 frm both sides of the inequality to get
-4|n+2|<-23-1

Answer 3

But i'm supposed to isolate the absolute value first.

Answer 4

Would i divide -4?

Answer 5

after that we can divide both sides by -4

Answer 6

wat do we get?

Answer 7

n+2< -24/4 -> n+2<-6

Answer 8

then we subtract 2 with -6 so n<-4 right?

Answer 9

what?

|n+2|<-24/4
|n+2|<6
we now get rid of the absolute value be spliting the inequality ... making 1positive and 1negative ..like this

(n+2)<6 and (n+2)<-6
we now solve for n

Answer 10

that shd be -24/-4 ** (error +4)

Answer 11

so n+2<6
n<6-2

and
n+2<-6
n<-6-2

Answer 12

Oh i see what you did :O so n<-4 and n<-8. How would this be graphed?

Answer 13

oh whoops i put -4 instead of 4

Answer 14

n>4 and n<-8

Answer 15

more like this^^