2 l -x+4 l 10 solve for X

Question

2 l -x+4 l > 10     solve for X

anonymous · Answer

6l-10>x

anonymous · Answer

theres arent ls haha sorry those are absolute values

anonymous · Answer

those*

anonymous · Answer

oh :D

anonymous · Answer

if you could tell me how to do it that be great i now i have to divide by 2.... but does that change the signn.

anonymous · Answer

yes that is the first step. no it does not change the sign

anonymous · Answer

than you have to divide it to two parts. 
when x>= 4 than the absolute value does nothing so you get
-x+4 >5
-1>x
this is contradiction as x cannot be bigger than 4 and smaller than -1 at the same time

anonymous · Answer

whered you  get negative one the -x will become positive so i wouldnt have to divide right..? then i would have to do this problem again with flipping the sign and negating the  10

anonymous · Answer

the second part is when 
4>=x
than the absolute value multiplies it by -1
so you get 
x-4>5
x>9
this is another contradiction so I must have done something wrong :) time to double check

anonymous · Answer

try this:
$$|-x+1|=|1-x|=|x-1|$$ now you don't have that annoying minus sign in front of the x.

$$2|x-1|>10$$
$$|x-1|>5$$
$$x-1>5$$or $$x-1<-5$$

anonymous · Answer

there is no contradiction.  you have two easy inequalities to solve.

anonymous · Answer

Satellite that answer is incorrect this is a muiltiple choice question and the only answers are with 1 and 9  ... there was no need to move the -x when its in an absolute value sign the - drops anyway which is where the problem may be with your solution

anonymous · Answer

sat it is not -x+1 but -x+4

anonymous · Answer

Hahah thanks Andras that could be the problem as well haha

anonymous · Answer

oops i read it as $$-x+1$$ not $$-x+4$$
i apologize.

anonymous · Answer

yeah the answer should be x>9 or -1>x

anonymous · Answer

sorry.  messed up by not reading carefully.

anonymous · Answer

the choices are 19) (x<-9) or (x>-1) (x<-1)or(x>9)

anonymous · Answer

(x<-1)or(x>9)

anonymous · Answer

ok thanss both for the help :]

anonymous · Answer

thanks*

anonymous · Answer

$$21-x+41>10$$
Collect like terms on RHS
$$62-x >10$$
Subtract 10 from both sides;
$$52-x >0$$
Add x to both sides
$$52>x$$
That is;$$x <52$$

anonymous · Answer

Those are absolute values... not 1..

anonymous · Answer

i got the answer already :]..