Mathematics of Greater Than: Understanding Inequality

by Yuvi K - January 1, 2024

Introduction to greater than

Mathematics is a language of its own; just like one can use language to express ideas, math can be used to communicate facts and explain concepts. One of the simplest concepts of mathematics is that of greater than (badh jaate hain). In this article, we will learn what greater than (badh jaate hain) means and how to apply it.

What is greater than?

Greater than (badh jaate hain) means that one value is bigger than another one. This concept is often written in symbols, where > (greater than sign) means “greater than”. For example, if the value of x is bigger than the value of y, we would write it as x>y.

Understanding Inequality with Examples

Let us illustrate this concept by a few examples. Suppose you have two paperweights; one is 1 kg and the other one is 2 kg. We can then say that the 2 kg paperweight is greater than the 1 kg one – 2 kg > 1 kg.

For another example, assume that you have two distances; 20m and 40m. Here, the 40m distance is greater than the 20m one – 40m > 20m.

Using Greater Than to Compare Lengths, Areas, and Weights

We can use the greater than concept to compare different lengths, areas, and weights. For example, let us assume that you have two lines of equal length. If you draw a line of length 6 cm that is greater than the two lines of length 4 cm each, we can say: 6 cm > 4 cm + 4 cm.

Similarly, assume that you have two squares of equal area. If you draw a square of area 16 cm² that is greater than the two squares of area 9 cm² each, we can say: 16 cm² > 9 cm² + 9 cm².

We can also use the greater than concept to compare weights. For example, let us assume that you have two packets of equal weight. If you have a packet of weight 12 gm that is greater than the two packets of weight 7 gm each, we can say: 12 gm > 7 gm + 7 gm.

Using Greater Than to Compare Numbers

We can also use the greater than concept to compare numbers. For example, let us consider two numbers; 10 and 15. We can say that the number 15 is greater than the number 10 – 15 > 10.

This concept can be easily applied to a variety of situations. For example, if you have a store that has 10 items in stock and you need to restock with 15 items, we can say that the number of items that needs to be restocked is greater than the number of items currently in stock – 15 > 10.

Understanding Inequality in Mathematical Equations

We can also use the greater than concept to work with equations. For example, consider the equation x + 10 = 30. We can solve this equation by subtracting 10 from each side of the equation – x + 10 – 10 = 30 – 10, which can be written as x = 20.

Now, we can use the greater than concept to compare the two sides of the equation. Since 10 is greater than 20 in this equation, we can write it mathematically as: 10 > 20.

Conclusion

In conclusion, the concept of greater than (badh jaate hain) is a relatively simple one and can be used to compare lengths, areas, weights, and numbers. This notion can be applied to solve mathematical equations as well. With these tips, you should now have a better understanding of how to use this fundamental concept.