Least integer function

A function f of R in R is a function of the least integer that is greater than or equal to x if and only if: ∀x ∈ [n, n + 1] : x → ⌈x⌉ = n + 1 where n ∈ Z and n ≤ x ≤ n + 1.

1. What is the least integer lying between 10 and 15?
2. What is the greatest integer symbol?
3. Which is the smallest and greatest integer?
4. What does smallest integer value mean?
5. What is greatest integer function?
6. Is every negative integer is less than zero?
7. Which is the greatest integer lying between 10 and 15?
8. What is the greatest negative integer?
9. Which is the smallest integer?
10. Is a greatest integer function even or odd?
11. What is greatest integer function in your own words?
12. Is the smallest negative integer?
13. Is zero greater than any negative integer?
14. Which is the smallest number?

What is the least integer lying between 10 and 15?

-14 is least integer lying between -10 and -15.

What is the greatest integer symbol?

The greatest integer function is a function that gives the largest integer which is less than or equal to x. This function is denoted by ⌊x⌋.

Which is the smallest and greatest integer?

(iii) There is no greatest or smallest integer. (iv) The smallest positive integer is 1 and the greatest negative integer is -1.

What does smallest integer value mean?

In Maths, integers are the numbers which can be positive, negative or zero, but cannot be a fraction. ... The smallest integer numbers are not defined. The series of forms -1,-2,-3,-4,-5………………is normally called negative integers. There is no end point for this series, so it is not possible to find the smallest integers.

What is greatest integer function?

The greatest integer function is a function that results in the integer nearer to the given real number. It is also called the step function. The greatest integer function rounds off the given number to the nearest integer.

Is every negative integer is less than zero?

Every negative integer is zero.

Which is the greatest integer lying between 10 and 15?

-11 is greatest integer lying between –10 and –15.

What is the greatest negative integer?

Answer: -1 is the greatest negative integer. In a number line, the numbers to the right from 0 (zero) are the positive integers. And, the numbers left to 0 (zero) are the negative integers.

Which is the smallest integer?

The smallest integer is zero.

Is a greatest integer function even or odd?

It can be even or odd or it can be none of even or odd. And greatest integer function is none of even or odd. If you want to check it, just draw the graph of f(x)=[x]. Therefore it can be both even or odd.

What is greatest integer function in your own words?

The greatest integer function is a function that takes an input and gives an output that is the greatest integer that is less than or equal to the input.

Is the smallest negative integer?

-1 is the smallest negative integer.

Is zero greater than any negative integer?

Zero is larger than every negative integer.

Which is the smallest number?

Question 5

The smallest whole number is "0" (ZERO).