Answer:
The Edg answer is as follows -
The statement is not true for all real numbers. It is only true for decimal or fractional values of x .
If x is an integer, then the ceiling function returns x when the input is x . But, the flooring function returns x + 1 when the input is x + 1.
Since x does not equal x + 1 when x is an integer, the expressions are not equal when x is an integer.
Step-by-step explanation:
Real numbers are set of numbers that include rational and irrational numbers.
[x]=[x+1] is not true for all real numbers
Assume that: x is an integer
And x = 5
So, the equation becomes
[tex]5 = 5 + 1[/tex]
[tex]5 = 6[/tex]
The above equation is not true, because:
[tex]5 \ne 6[/tex]
Hence, [x]=[x+1] is not true for all real numbers
Read more about real numbers at:
https://brainly.com/question/551408
