Greater Than or Equal To
The greater than or equal to symbol is used to represent inequality in math. It tells us that the given variable is either greater than or equal to a particular value. For example, if x ≥ 3 is given, it means that x is either greater than or equal to 3. It defines a range of values that x can take which starts from 3 and goes up till infinity.
1.  What is Greater Than or Equal To? 
2.  Greater Than or Equal To Symbol 
3.  Greater Than or Equal To Application 
4.  FAQs on Greater Than or Equal To 
What is Greater Than or Equal To?
"Greater than or equal to", as the name suggests, means the variable is either greater than or equal to a particular value. The "greater than" word is used to express that one quantity is greater than the other quantity. The"is equal to" word is used to express that two quantities are equal. When these terms are combined with each other they make a new term that is Greater Than Or Equal To and this term is used to show that, the quantity or amount value limit could be equal to or greater than the limit given.
For example, for a person to be elected as a president he or she should be a minimum of 35 years old. This means that a person should be either greater than or equal to 35 years old.
Greater Than or Equal To Symbol
The "Greater than or equal to" symbol is used in linear inequalities when we don't know whether the value of a variable is greater than or equal to a particular value. It is expressed by the symbol " ≥ ". This symbol is nothing but the "greater than" symbol ( >) with a sleeping line under it. The sleeping line below the greater sign means "equal to".
Here is an example for you to understand this concept better. For a school to participate in an olympiad exam, the number of students from each class should be a minimum of 10. This means that if there are less than 10 students participating from any one of the classes, none of the students of that class can take the olympiad exam. If x represents the number of students participating in a class, then x should be greater than or equal to 10. This is represented by: x ≥ 10
Here are some other examples for "Greater than or equal to"
 x ≥ 100 means the value of x should be greater than or equal to 100.
 a ≥  2 means the value of a should be greater than or equal to 2.
Greater Than or Equal To Application
The table below shows where and how greater than or equal to symbol is used along with examples and meanings.
Symbol  Example  Meaning 

Greater than or equal to, ≥ 
x ≥ 2 2 ≥ x ≥ −1 
The value of x is greater than or equal to 2. The value of x should between −1 and 2 inclusive of both values. 
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Check out the important topics mentioned below to learn more about the greater than or equal to and its related topics.
Greater Than or Equal To Examples

Example 1: A fruit shop owner sells a glass of juice for $2. He has a target of earning revenues greater than or equal to $350 a day. If x is the number of glasses of juice that he sells in a day, write an inequality representing this situation.
Solution: a) Cost of each glass of juice = $2
Number of glasses of juice he sells in a day = x
Hence, the total cost of x glasses of juices he sells in a day = $2x
The total revenue should be greater than or equal to $350 a day.
So the inequality to represented this is, 2x ≥ 350. 
Example 2: James needs to score a minimum of 40 marks out of 100 to clear the math exam. Express this statement using the greater than or equal to symbol.
Solution: Let's represent the math marks of James by x. It is given that passing marks are 40 or more. So, this can be represented by a simple inequality, x ≥ 40
Therefore, the condition is represented as x ≥ 40, where x is the number of marks scored by James in maths.

Example 3: Find the numbers that belong to the following set {x ∈ N / x ≥ 3 }.
Solution: We know that N is the set of natural numbers.
The given set is: {x ∈ N / x ≥ 3 }
This means that we have to find all the natural numbers that are greater than or equal to 3.
Since the set of natural numbers is infinite, the numbers that belong to the given set are, 3,4,5,6,......... and it goes up to infinity.
FAQs on Greater Than or Equal To
What is Greater Than or Equal To in Math?
Greater than or equal to as the name suggests, means something is either greater than or equal to some quantity. Greater than or equal to is represented by the symbol "≥". For example, x ≥ −2 means the value of x should be greater than or equal to −2.
What is the Symbol for Greater Than or Equal To?
The symbol of "greater than or equal to" looks like " ≥ ". The open side of the symbol should be in front of a bigger value. The underline in the symbol shows that the value could be equal to or more than the limit. For example, x ≥ 5.
Here, the value of x should either equal to or more than 5.
How do you Explain Greater Than or Equal To?
Greater than or equal to is something either greater than or equal to a given quantity. It can also be expressed as at least or minimum. For example, the basic salary of labor should be $5 or more than $5 or we can say it should be greater than or equal to $5.
What is the Difference Between Greater Than and Greater Than or Equal To?
The greater than is represented by the symbol > whereas the greater than or equal to is represented as ≥. The greater than means that some variable or number can have any value that is greater than the given limit, not less than that or equal than that limit, but the greater than or equal to states that the number or variable can be equal or more than the given limit.
What is the Difference Between Greater Than or Equal To and Less Than or Equal To?
The greater than or equal to tells that the amount either should be more or equal to the minimum limit whereas the less than or equal to is just opposite of greater than and equal to. Less than or equal to means, the amount should be equal or less than the maximum limit.
What is the Difference Between Greater Than or Equal To and Equal To?
Greater than or equal to quantity should be more or equal to the limit given and equal to (=) means the quantity is fixed. It should not be less than or more.
Is 4 Greater Than or Equal to 3?
No, we can't say 4 is greater than or equal to 3. Because 4 is bigger than 3 not equal to 3. Therefore the correct sentence will be 4 is greater than 3.
What is the use of Greater Than or Equal To?
Greater than or equal to is used to show that one variable is greater than or equal to a given quantity. For example, the company is having its policy to launch the product either at the same price or more than the old price. So we can say that the new product price is greater than or equal to the old price.
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