Question

Can u please solve this question?

Answer 1

Answer:

It is TRUE for all Real numbers, i.e. [x] = ]x+1[ for all x∈R.

Step-by-step explanation:

Let's write given statement as [ x ]  = ] x+1 [

where [ x ] step function means next integer greater than or equal to x,

and ] y [ means last integer less than or equal to y.

Let's take an example of x = 2.5

So  [ 2.5 ] = 3.

and ] 2.5 + 1 [ = ] 3.5 [ = 3.

Similarly, we can take any example of Real numbers like 3.7, 4.2, 5.6, 8.9 etc.

It is TRUE for all Real numbers, i.e. [x] = ]x+1[ for all x∈R.