# Thread: inequality A level question

1. ## inequality A level question

|x-3| >(greater than or equal to) |x| - |3|

how do i go about to solve this???

PS why bitdefender anti virus only picking up malware on this forums???

2. ## Re: inequality A level question

Originally Posted by kingmaths
$|x-3|\ge |x| - |3|$
Here is a hint:
$|x|=|x-3+3|\le |x-3|+|3|$
How can that be rearranged to look this problem?

3. ## Re: inequality A level question

ok,, but one thing i want to know, do I need to get rid of || sign, if yes how??

4. ## Re: inequality A level question

Originally Posted by kingmaths
ok,, but one thing i want to know, do I need to get rid of || sign, if yes how??
Is not it true for any x?

5. ## Re: inequality A level question

Originally Posted by kingmaths
|x-3| >(greater than or equal to) |x| - |3|

how do i go about to solve this???

PS why bitdefender anti virus only picking up malware on this forums???
Looks like a straightforward application of the reverse triangle inequality to me...