Inequalities
What is the Concept of Inequalities?
Inequalities are the mathematical expressions in which the LHS and RHS of the expression are unequal.
What are the Symbols for Inequalities?
Symbols of inequalities are: >, <, ≥, ≤ and ≠.
What is the Transitive Property of Inequalities?
Transitive property of inequalities states that if a, b, c are three numbers then,
- If a > b and b > c, then a > c
- If a < b and b < c, then a < c
- If a ≥ b and b ≥ c, then a ≥ c
- If a ≤ b and b ≤ c, then a ≤ c
What are some Examples of Inequalities?
Some examples of inequalities are:
- 3x + 6 > 9
- 9x + 3y < 15
- 8x + 2 ≤ 18
How do you Solve Inequalities?
To solve an inequality one must follow the rules added below:
- We can add the same quantity to each side.
- We can subtract the same quantity from each side.
- We can multiply or divide each side by the same positive quantity.
What is Inequality in Real Life?
Some examples of inequalities in real life are speed limits on road, age restrictions on movies, etc.
Can we Divide Two Inequalities?
We can easily divide two inequalities and multiplying or dividing both sides by a positive number leaves the inequality symbol unchanged.
Inequalities
Inequalities are the expressions which define the relation between two values which are not equal. i.e., one side can be greater or smaller than the other. Inequalities are mathematical expressions in which both sides are not equal. They are used to compare two values or expressions. It is a mathematical expression used to compare the relative size or order of two objects or values.
They are fundamental in solving problems in mathematics, economics, engineering, and various other fields.
In this article, we will learn about Inequalities including their symbols, rules/properties, types, and their graphical representations and others in detail.
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