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.
Answer:
the answer will stay the same
The radius of the circle is 35 cm
Step-by-step explanation:
One revolution of the wheel of a cart = the length of the circumference of the wheel
Let the radius of the wheel be r cm
The circumference = 2 X pi X r
In 5000 revolutions the wheel covers 2 X pi X r X 5000 cm
According to the problem,
2 X pi X r X 5000 = 11 X 1000 X 100
or, pi X r = (11 X 1000 X 100)/(2 X 5000)
or, r = 110 / pi
or, r = (110 X 7)/22
= 35
Here is the answer.
