A Floor and a Ceiling Equation ⌊x/2⌋=⌈x/3⌉

[@tehobe]

At 3:50 equality should be included. It gives n=0 -> x=0 as a solution...

[@SyberMath]

Oh yeah, x=0 is a solution

[@aashsyed1277]

@@SyberMath THE TITLE IS NOT CORRECT!!!!!!!!!

[@AlexandreRibeiroXRV7]

What I find rather interesting is that on the interval 4

[@SyberMath]

Oh yeah, x=0 is a solution

[@SyberMath]

I agree. It's interesting!

[@angelmendez-rivera351]

The reason this happens is because 6 is the only number on this interval such 6/2 is an integer and 6/3 is an integer.

[@angelmendez-rivera351]

And the above happens because 6 := 2·3.

[@pratyushraj7571]

Too good approach Thankyou sir now I know the fundamental approach of all such questions Which is most important

[@SyberMath]

Thank you!

[@CriticSimon]

Wow! Floor and ceiling functions together 😍

[@SyberMath]

The best!

[@manojsurya1005]

Nice approach 👍

[@SyberMath]

Thanks 👍

[@anuragguptamr.i.i.t.2329]

n=0 also satisfies. You messed with the first inequality.

[@SyberMath]

Did I?

[@nicogehren6566]

nice explanation sir thank u

[@SyberMath]

Thanks and welcome

[@Noname-67]

I think you forgot that 2n should be

[@SyberMath]

That's right!

[@tonyhaddad1394]

Wow good choice !!!!!!

[@SyberMath]

Thanks!

[@FaerieDragonZook]

Nothing says that x can't be 0, and in fact x = 0 does satisfy the original equation.

[@SyberMath]

That's right!

[@armacham]

I think @SyberMath went wrong at 3:22 because he assumed that 2n is always less than 3n-2. Of course, when n=2 they are equal, and when n is less than that, 2n is actually bigger than 3n-2.

[@joaquingutierrez3072]

Nice video !! :). Thank you

[@SyberMath]

Thank you too!

[@anuragguptamr.i.i.t.2329]

@@SyberMath n=0 also satisfies. You messed with the first inequality.

[@deepjyoti5610]

I have seen this problem before but can't understand thnx for solving this

[@SyberMath]

No problem

[@deepjyoti5610]

@@SyberMath if u dont mind can i sometimes suggest u geometric proof based problems

[@SyberMath]

@@deepjyoti5610 Of course!

[@barakathaider6333]

👍

[@rishabhjain8635]

what about x=0?

[@SyberMath]

Oh yeah, x=0 is a solution

[@nicolascamargo8339]

Wow

[@crazy4hitman755]

You only forgot x=0

[@SyberMath]

Oh yeah, x=0 is a solution

[@Germankacyhay]

👍👍👍👍👍👍👍👍👍👍👍

[@aashsyed1277]

THE TITLE IS WRONG!

[@SyberMath]

Oh yeah! Thanks