bassiseema wrote:

If [x] denotes the greatest integer less than or equal to x then is [x]=0?

a) [2x]=0

b0 [3x]=0

Please explain?

Another approach..

a) [2x] = 0, here we know that the greatest integer less than or equal to 2 is 2.

=> 2[x]= 0, i.e. 2 multiplied by some real number is 0 => [x] is 0.

b) Same as a. >> wrong approach

We cannot assume that this operation can be split. i.e we cannot say [2x] = 2[x]...we can only do that if [] indicates multiplication..here it is 'some function'.

So, we can only use the approach mentioned by coelholds (+1 for you)

Though, I got the right answer , approach is wrong..sorry for the confusion

But it makes concepts more clear

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