Inequality Math

Introduction to inequality in math:

In mathematics, an inequality is a statement about the relative size or order of two objects or about whether they are the same or not. (Source : Wikipedia).In inequality we are using many number of mathematical symbol and each one represent the particular operation. I like to share this Compound Inequality Solver with you all through my article.

>  greater than symbol

<  less than symbol

>=  greater than or equal to

<= less than or equal to

=  equal to

!= not equal to

Here we are going to study about how solve the inequality problems and its example


Math example problems:


Example: 1

Solve the following inequality equation.

4x+3+2x +5 < 2x+4

Solution:

In the left hand side combine the like term first

4x+3+3x +5 < 2x+4

7x + 8 < 2x + 4

Add both sides -4 we get

7x + 8 - 4 < 2x + 4 - 4

In right hand side 4 - 4 will be cancelling

7x+ 4 < 2x

Add both sides -2x

7x -2x + 4 < 2x -2x

5x + 4 < 0

Add both sides -4 we get

5x + 4 -4 < -4

5x < -4

Divide both sides 5 we get

(5x / 5) < - `(4/5)`

x < - `(4/5)`

Therefore the x value less than - `(4/5)`

Understanding Interval Notation Solver is always challenging for me but thanks to all math help websites to help me out.

math example : 2


Solve the following inequality 2x - 23 > x - 4

Solution:

First we have to solve the x value

Add both sides +4 we get

2x - 23 +4 > x + 4 – 4

In right hand side 4 - 4 will be canceling

2x - 19 > x

Add both sides 19 we get

2x + 19 -19 > x + 19

2x > x+19

Add both sides –x we get

2x – x > x-x +19

x > +19

Here the greater than symbol represent the x value greater than 19 that is 20, 21, 22 ……