Question

What is the value of [-4.6]

Answer 1

Answer:

              The value is:

                      -4

Step-by-step explanation:

We are asked to find the value of the ceiling function: $\left \lceil -4.6 \right \rceil$

As we know that the ceiling function always occupy the higher value in integers.

i.e. the ceiling function act as follows:

it takes value 0 when   -1< x≤0

                       1 when  0 < x ≤ 1

                       2 when  1 < x ≤2

and so on.

As we know that:

            -4.6 lie between -5 and -4.

            Hence, we have:

            $\left \lceil -4.6 \right \rceil=-4$

Answer 2

Answer:  -4

Step-by-step explanation:

The ceiling function (also known as the least integer function) is written as

$f(x) = [x]$

It gives the smallest integer greater than or equal to x .

For example : [5.6]=6

or [-1.9]= -1   [∵- 1 > -1.9 ]

To find : The value of [-4.6]

Clearly ,  [-4.6] is written in ceiling function notation.

Then,  [-4.6]  = smallest integer greater than or equal to -4.6

= -4              [∵ -4>-4.6]

Hence, the value of [-4.6] = -4