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