Prove that |a| + |b| + |c| - |a+b| - |b+c| - |c+a| + |a+b+c| $\geq$ 0
no idea! if we could somehow prove that |a+b|+|b+c|+|c+a| $\leq$ |a|+|b|+|c|+|a+b+c| that should be enough.
-rakeen
Ex 1.6 [BOMC-2011]
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sourav das
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Re: Ex 1.6 [BOMC-2011]
Hint
You spin my head right round right round,
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
Re: Ex 1.6 [BOMC-2011]
Use Triangle inequality. Also can try to prove,
$|a|+|b|+|c|+|a+b+c| \geq |a+b|+|b+c|+|c+a|$
$|a|+|b|+|c|+|a+b+c| \geq |a+b|+|b+c|+|c+a|$
হার জিত চিরদিন থাকবেই
তবুও এগিয়ে যেতে হবে.........
বাধা-বিঘ্ন না পেরিয়ে
বড় হয়েছে কে কবে.........
তবুও এগিয়ে যেতে হবে.........
বাধা-বিঘ্ন না পেরিয়ে
বড় হয়েছে কে কবে.........