SOLUTION: What does the sign |x| means? What is the answer of x if it is |x-4|>3?

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Question 465561: What does the sign |x| means? What is the answer of x if it is |x-4|>3?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
It's called "absolute value".
It means that whatever is inside
the bars, you ignore the minus if it
has a minus sign. Therefore:


--------------------------
You have:

Try , then

not true
--------------------------
If ,


true
-------------------------
Try

also not true
-------------------------
But if ,

true
-------------------------
If , then

true
-------------------------
What it boils down to is,
there are 2 ranges for
that make the inequality true:

and

Anything between and including
and fails
---------------------------
Hope this helps

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