Eduki

How are inequalities formed?

If the 'equal to' sign in equations are replaced by >, <, ≤, ≥ (meaning greater than, less than, less than, or equal to and greater than or equal to sign respectively), then they are known as inequalities. It is used to state if a quantity is greater than or less than another quantity. For example,

𝑥>5 states that the number “𝑥” is greater than 5. Unlike an equation in which a variable has only one value for a particular situation, an inequality solution may have several values. For example, if a number when increased by 7 becomes 15 then that number must be 8 otherwise the statement won't be valid because 8+7 is 15. But if it is stated that a number, when increased by 7, becomes greater than 15 then the solution can be any number greater than 8 because

9+7=16 which is greater than 15

10+7=17 which is greater than 15, etc. 

The coefficient of a term (numerical or algebraic) is shown in the hanger diagram by repeating that term multiple times in a group. Here the term (𝑥 + 2) is repeated 3 times to show 3 in 3(𝑥 + 2).

The process of solving inequality and equation isn't very different from each other. The additive and multiplicative laws of equality are both applicable in the case of inequality as well.