- What are inequalities
- |
- Things which changes the direction of the inequality
- |
- Linear Inequation in One Variable
- |
- Linear Inequation in Two Variable
- |
- Quadratic Inequation
- |
- Steps to solve the inequalities in one variable
- |
- Steps to solve the inequality of the another form
- |
- Steps to solve Quadratic or polynomial inequalities
- |
- Absolute value equation
- |
- Absolute value inequation
- |
- Graphical Solution of Linear inequalities in Two Variable

In mathematics, an inequality is a relation that holds between two values when they are different

Solving linear inequalities is very similar to solving linear equations, except for one small but important detail: you flip the inequality sign whenever you multiply or divide the inequality by a negative

The symbol < with a bar underneath means less than or equal to. Usually this is written as $\leq$

The symbol > with a bar underneath means greater than or equal to. Usually this is written as $\geq$

The symbol $\neq$ means the quatities on left and right side are not equal

1)a < b means a is less then b or b is greater a

2) $a \leq b$ means a is less then or equal to b

3) a > b means a is greater than b

4) $a \geq b$ means a is greater or equal to b

1) addition of same number on both sides

a > b

=>a+c > b +c

2) Substraction of same number on both sides

a > b

=>a-c > b-c

3) Multipication/Division by same positive number on both sides

a > b

if c is positive number then

ac > bc

or

a/c > b/c

2) Multiplication/Division by negative number on both sides

3) Dont multiple by variable whose values you dont know as you dont know the nature of the variable

It is very useful in solving problem related to inequalities and also representing it

Suppose x >2(1/ 3), this can represent this on number line like that

ax+b> 0

or

$ax+b \geq 0$

or

ax+b< 0

or

$ax+b \leq 0$

are called the linear equation in One Variable

x-2 < 0

or 3x +10 > 0

or $10x-17 \geq 0$

ax+by> c

or

$ax+by \geq c$

or

ax+by< c

or

$ax+by \leq c$

are called the linear equation in two Variable

x-2y < 0

or 3x +10y > 0

or $10x-17y \geq 0$

Class 11 Maths Home page Class 11 Physics Home page

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