|2x-9|+4 = and

Question

|2x-9|+4 <= 7 (using >= and <= to represent the inequalities) |2x-9|+4 <= 7 -4 -4 |2x-9| <= 3 2x-9 <= 3 -9 -9 2x <= -6 2 2 x <= -3 2x-9 >= -3 -9 -9 2x >= -12 2 2 x >= -6

ash2326 · Answer

Do you know what's mod of x
|x|         ?

anonymous · Answer

no. :o

ash2326 · Answer

Ok 
|x| is defined as
$$x\ if\ x\ge 0$$
or
$$ -x\ if\ x\le 0$$
So |+2|=2
and |-2|=-(-2)=2
Do you understand this?

anonymous · Answer

no, i don't know how to do it like that...

ash2326 · Answer

@0mgl0la My friends will help you with this. I gotta go now. Sorry

anonymous · Answer

ok. bye. thank you, though. :)

anonymous · Answer

hiiii 0mgl0la Imma try to help :D

anonymous · Answer

lol :D ok, go for it.

anonymous · Answer

ahhh okay this is the whole, what you do t one side you have to do to antoher... comprende give me a sec to see if I can figure it out. I haven't done these in 2 years D:

anonymous · Answer

Is |2x-9|+4 <= 7  the first question?

anonymous · Answer

|2x+9|+4$$\le$$7 
so, yes.

anonymous · Answer

$$
|2x-9|+4 \le7  \
|2x-9| \le 3  \
-3 \le 2x-9 \le 3  \
6=-3+9  \le 2x \le 3+9=12  \
3 \le x \le 6
$$

anonymous · Answer

way to steal meh thunder.