Question

What is the value of [-4.6]

Answer 1

Answer: -4

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

Answer 2

The value is:

-4

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`