Less Than or Equal To
Less than or equal to relation is one of the inequalities used to represent the relation between two nonequal numbers or other mathematical expressions. We know that the ' 'greater than' symbol is used to show that one quantity is greater than the other quantity, the 'lesser than' symbol is used to show that one quantity is lesser than the other quantity, and the 'is equal to' symbol is used to show that two quantities are equal. Similarly, there is a symbol of less than or equal to in math which is used to show that one quantity can be less than the other quantity or equal to the other quantity.
1.  What is Less Than or Equal To? 
2.  Less Than or Equal to Symbol in Words 
3.  Less Than or Equal to Meaning 
4.  Less Than or Equal to on a Number Line 
5.  FAQs on Less Than or Equal to 
What is Less Than or Equal To?
'Less than or equal to', as the name suggests, means a variable is either less than or equal to another number, variable, or quantity. 'Less than or equal to' can also be expressed as at most, no more than, a maximum of, and not exceeding. Observe the following figure to see the symbol that shows a 'less than' sign with a sleeping line under it.
Less Than or Equal To Symbol in Word
Let us understand the less than or equal to symbol in words with an example. James works at a departmental store, and he is paid on an hourly basis. He can work for a maximum of 8 hours per day. Do you know what’s meant by the term maximum, here? This means James can work for less than or equal to 8 hours per day in the store. Let us represent the number of hours James worked as x hours. So, we can write the given example mathematically as, x ≤ 8.
Less Than or Equal To Meaning
We come across certain statements involving the signs '≤' and '≥' which are called inequalities. Both inequalities have different meanings. We can easily understand them by comparison. Here are some comparisons of these symbols and their examples along with their meanings.
Symbol  Example  Meaning 

Less than or equal to, ≤ 
x ≤ 7 
The value of x is less than or equal to 7. 
− 5 ≤ x ≤ 3 
The value of x should lie between − 5 and 3, inclusive of both values.  
Greater than or equal to, ≥ 
x ≥ 2 
The value of x is greater than or equal to 2. 
2 ≥ x ≥ − 1 
The value of x should lie between − 1 and 2, inclusive of both values. 
Less Than or Equal to on a Number Line
Inequalities like less than or equal to and greater than or equal to are represented in a different way on a number line. To denote these, we use the closed circle to mark the limit value and point the arrow towards the given condition of inequality. Let us see this on a number line given below:
We can see that when we want to denote 'x less than or equal to  5', we marked a circle at  5 and pointed an arrow towards the values less than  5, as suggested in the condition of inequality. Similarly, when we want to denote 'x greater than or equal to  2', we marked a circle at  2 and pointed an arrow towards the values greater than  2, as suggested in the condition of inequality.
Less Than or Equal to Related Topics
Check out the interesting topics to learn more about less than or equal to, and its related topics.
 Number Line
 Greater Than Calculator
 How To Make a Greater Than or Equal to Sign
 Greater Than or Equal To
Important Notes
Following are the notes that help in the concept of less than or equal to.
 Same numbers can either be added or subtracted on both sides of an inequality without changing the sign of inequality.
 Same positive numbers can either be multiplied or divided into both sides of an inequality without changing the sign of inequality.
 Same negative numbers can either be multiplied or divided on both sides of an inequality and the sign of inequality gets reversed.
Less Than or Equal To Examples

Example 1: A classroom can occupy 60 study tables at most. Express this statement using the less than or equal to symbol.
Solution:
Let's represent the number of study tables by the variable x.
It is given that the classroom can occupy a maximum of 60 study tables.
So, this can be represented by a simple inequality.
∴ x ≤ 60
Therefore, the condition is represented as x ≤ 60, where x is the number of tables.

Example 2: Charles had 18 chocolates which he was going to distribute to his friends on his birthday. Since the box was open, he lost some chocolates on the way. If x is the number of chocolates that Charles currently has, write an inequality using the 'less than or equal to' symbol that represents this situation.
Solution:
Number of chocolates Charles had initially = 18
Since he lost some chocolates, the number of chocolates with him currently is less than 18.
x < 18 ⋯(1)
We know that the number of chocolates should be a nonnegative quantity. Hence,
x ≥ 0
This inequality can also be written as:
0 ≤ x ⋯(2)
From the inequalities (1) and (2), we get,
0 ≤ x < 18Therefore, the number of chocolates Charles has is represented as 0 ≤ x < 18.

Example 3: Jolly's teacher asked her to find the numbers that belong to the set as shown on the blackboard.
Can you help her?
Solution:
We know that Z is the set of integers.
The given set is:
{x∈Zx≤4}
This means that we have to find all the integers that are less than or equal to 4.
Since the set of integers is infinite, the numbers that belong to the given set are:
..., −3, −2, −1, 0, 1, 2, 3, 4
Therefore, the numbers in the given set are ..., −3, −2, −1, 0, 1, 2, 3, 4.
FAQs on Less than or Equal to
How Do You Type Less Than or Equal To?
Less than or equal to is represented by the symbol ≤. So if we want to write x is less than or equal to 6, we write it as x ≤ 6, which means that x can have any value from negative infinity to 6 but not more than 6.
What Does Less Than or Equal To Mean?
Less than or equal to in math means that you can't have more than something, you must have either less than or equal to the given limit. 'Less than or equal to', as the name suggests, means a number is either less than or equal to another number. It can also be expressed as at most, no more than, a maximum of, and not exceeding.
How Do You Use Less Than or Equal To?
Less than or equal to is used to express an inequality where a variable or an expression could be less than or equal to a number, variable, or expression. For example, a ≤ 2, x + y ≤ 6, p ≤ 6q+8, etc.
What is the Difference Between Less Than and Less Than or Equal To?
The inequality 'less than' is represented by the symbol < whereas the inequality 'less than or equal to' is represented as ≤. The inequality 'less than' means that some variable or number can have any value that is less than the given limit, not more than that or equal than that limit, but the inequality 'less than or equal to' states that the number or variable can be equal or less than the given limit. Here, the inclusion of the limit is the difference.
What is an Example of Less Than or Equal To?
If we have an inequality: x ≤ 4, this means that we have to find all the integers that are less than or equal to 4. Since the set of integers is infinite, the numbers that belong to the given set are: ...,−3,−2,−1,0,1,2,3,4.
What is Another Word for Less Than or Equal To?
'Less than or equal to', in math, means something is either less than or equal to another quantity. 'Less than or equal to' can also be expressed as at most, no more than, a maximum of, and not exceeding.