Greater Than: Symbol, Meaning, Mathematical Applications

In mathematics, the greater than symbol (>) is a fundamental symbol used to represent the inequality between two values. It is formed by two equal-length strokes that meet at an acute angle on the right side.

What Does Greater Than Mean?

1. 5 > 3 : This means that 5 is greater than 3. In this case, 5 exceeds 3 in value.
2. 10 > 8 : This means that 10 is greater than 8. Again, 10 is larger than 8.
3. 7 > 5 : This indicates that 7 is greater than 5.
4. 2 > 2 : This statement is false because 2 is not > 2. In this case, the two values are equal, not one greater to the other.

Also Check: Even Numbers

Greater Than in Mathematics Application

• Greater Than in Algebra:

• Greater Than in Geometry:

• Greater Than in Calculus:

• Greater Than in Statistics:

Celsius to Fahrenheit

What Does Greater Than or Equal to Mean?

• 5 ≥ 3: This means that 5 is either > or equal to 3. In this case, 5 is > 3, so the statement is true.
• 7 ≥ 7: In this case, both values are equal, and the statement is still true. The "equal to" part of the comparison is satisfied.
• 2 ≥ 4: This statement is false because 2 is neither > nor equal to 4. The left side of the inequality (2) is smaller than the right side (4), so the condition isn’t met.
• x ≥ 10: If we say "x ≥ 10", it means that the value of x must be either > or equal to 10. If x is 10, it satisfies the "equal to" condition. If x is 12, it satisfies the ">" condition. However, if x is 8, the statement would be false because 8 is neither > nor equal to 10.

Also Check: Ordinal Numbers 1 to 100

How to Use Greater Than Symbol?

1. Basic Usage

Example:

• 7 > 3 : This means that 7 is greater than 3.
• 10 > 8 : This means that 10 is greater than 8.

2. Inequalities

Example:

• x > 5 : This means that the value of x is > 5. Any number larger than 5 (like 6, 10, or 100) satisfies this inequality.

3. Using Greater Than in Algebraic Expressions

Example:

• If you have the inequality 2x > 10, this means that the value of 2x is > 10. To solve for x, divide both sides by 2: x>5x > 5x>5 This means x must be > 5 to satisfy the inequality.

4. Comparing Quantities

Example:

• The temperature today is 35°C > 25°C , meaning today’s temperature is > 25°C.

5. In Conditional Statements

6. In Graphs and Visual Representations

Example:

• x > 0 : This could represent all the points on a graph where the x coordinate is greater zero, meaning the points lie to the right of the y-axis.

7. Symbol in Word Problems

Example:

• "The total cost of your groceries is > Rs. 50 ."

8. Use in Sets

Example:

• Set A = {x | x > 3} : This set includes all values of x that are > 3.