Question

How do I solve this inequality?
|S+4|>2

Answer 1

Okay so this is really simple... all you have to do is subtract 4 from both sides!

So you would get:

\[S > -2\]

Answer 2

Hope this helped! Have a great day!

Also a medal would be much appreciated! Just click best response next to my answer. Thank You!

@redskychicken

Answer 3

But don't you have to flip the greater than sign to less than? @AihberKhan

Answer 4

Your answer is wrong @AihberKhan

You totally forgot to consider that there is an absolute value around S + 4

Answer 5

Do you know what it is? @TheSmartOne

Answer 6

I really need help with this... I got a test on this stuff tomorrow

Answer 7

not sure if @TheSmartOne will come back n help but u can start by considering two cases:

if S+4 >=0 and if S+4<0

if S+4 >=0, then |S+4| = S+4
if S+4<0, then |S+4|=-(S+4)

put the above back into the original inequality then simplify.

Answer 8

i got
s>-2 and s<2
Would that be right? because now i have to graph it @superdavesuper

Answer 9

if S+4 >=0, then |S+4| = S+4 > 2
subtracting 4 on left n right, u will get
S>-2

if S+4<0, then |S+4|=-(S+4) > 2
multiply by -1 (n flipping the inequality) then minus 4, u will get
S+4<-2
S<-6

got it? :)