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