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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