what is the value of [-4.6]

The value is:
-4
We are asked to find the value of the ceiling function: [tex]\left \lceil -4.6 \right \rceil[/tex]
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:
[tex]\left \lceil -4.6 \right \rceil=-4[/tex]
Answer: -4
Step-by-step explanation:
The ceiling function (also known as the least integer function) is written as
[tex]f(x) = [x][/tex]
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