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About LinkBacksThe solution of the inequalityis
And this is what I did:
For positive value
For negative value
Therefore the answer being:
Is it correct?
Thanks in advance.
yes, your answer is correct, i don't like how you set out the problem though, with equal signs and such. however, from looking at what you did, i can see that you pretty much have the right concept of what to do.Originally Posted by Patrick_John
The solution of the inequality
And this is what I did:
For positive value
For negative value
Therefore the answer being:
Is it correct?
Thanks in advance.
Hi Patrick!
You must be more rigurous in such problems.
First of all we need a condition:, else the inequality has no solution.
Now:
If(1) the inequality becomes
(2)
From (1) and (2) we have(3)
If(4) the inequality becomes
(5)
From (4) and (5) we have(6)
Now, from (3) and (6) yields)
I usually just split it into two inequalities, which is kind of similar to what Patrick did:Hi Patrick!
You must be more rigurous in such problems.
First of all we need a condition:
Now:
If
From (1) and (2) we have
If
From (4) and (5) we have
Now, from (3) and (6) yields
We have two cases (one where what is in the absolute values is positive, and one where it's negative):
case 1:
.............. 1st condition
case 2:
................. I think Patrick knows why I made the left side negative, so i won't explain
................. 2nd condidtion
Putting both conditions into one, we get:
..................this is the form the question asked the answer to be put in
or equivalently, as red_dog said,)
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