Inequalities
There are 30 chairs in Priya’ s Class, that implies that number of students in her class is less than or equal to 30. We can represent this statement mathematically using inequalities.
Student Count ≤ 30.
An inequality is a relation that holds between two values when they are different. E. g. x < 5
Here there is a relation between x & 5.
2 real numbers or algebraic expressions related by symbol‘<’,‘>’,‘ ≤’ or‘ ≥’ form inequality.
The study of inequalities is very useful in solving problems in the field of science, mathematics, statistics, optimisation problems, economics, psychology, etc.
Some Example of Inequality in daily life
Amit has 100 Rs & wants to buy Chips costing 30 Rs each packet. How many Chips pack Amit can buy? We can write this statement mathematically using inequalities. Let the number of chips pack Amit can buy be x. Then, 30 x ≤ 100.
Romi has 200 Rs & wants to buy some pen & eraser. How many pen & eraser she can buy?
We can write this statement mathematically using inequalities. Let the number of pen Romi can buy be x & number of erase be y. Then, 7 x + 23 y ≤ 200.
Notations o The notation a < b means that a is less than b. o The notation a > b means that a is greater than b. o
The notation a ≠ b means that a is not equal to b