What are the 5 types of inequality in maths?

greater than or equal to >=, less than or equal to <=, greater than >, less than <, not equal to !=

Hello Darryl, I hope this answer your question:

Strict Inequality (> and <) – These indicate that one quantity is strictly greater or smaller than another.

Example: x>5 means x is greater than 5 but not equal to 5.

Non-Strict Inequality (≥ and ≤) – These show that one quantity is either greater than or equal to, or less than or equal to another.

Example: y≤10y means y is less than or equal to 10.

Polynomial Inequalities – These involve expressions with variables raised to powers.

Rational Inequalities – These involve fractions where the numerator and denominator contain variables.

Example: x+1/x−2≥0, which is solved by finding critical points.

Absolute Value Inequalities – These include expressions with absolute values, meaning distance from zero.

Example: ∣x−4∣≤3, which requires solving both positive and negative cases.

1) >

2) <

3) ≤

4) ≥

5) ≠

less than ,greater than, less than or equals, greater than and equals , not equals to

Less than , greater than , less than or equal to , greater than or equal to, not equal to

In mathematics, inequality refers to a comparison between two values or expressions, indicating that they are not equal. Here are five common types:

1. Strict Inequality (>) or (<): Indicates that one value is strictly greater than or less than another. Example: x>5x > 5, y<3y < 3.
2. Non-strict Inequality (≥) or (≤): Includes equality as a possibility. Example: x≥5x \geq 5, y≤3y \leq 3.
3. Linear Inequalities: Inequalities involving linear expressions, often seen in graphing and solving systems. Example: 3x+2>73x + 2 > 7.
4. Polynomial Inequalities: Involving polynomials, such as quadratic or higher degree equations. Example: x2−4x+3≤0x^2 - 4x + 3 \leq 0.
5. Absolute Value Inequalities: Involving the absolute value of expressions. Example: ∣x−3∣>2|x - 3| > 2, which translates to two inequalities: x−3>2x - 3 > 2 or x−3<−2x - 3 < -2.

Inequalities play a vital role in algebra, calculus, optimization, and other branches of mathematics. 

They are "greater than" >, "lower than" <, "greater or equal to" >_, "lower or equal to" <_, and "not equal to" ≠.

The 5 that we use most are

1) Greater than

2) Less that

3) Equal to

4) Greater than or equal to

5) less than or equal to

There is also an identity (like an equals but with three lines instead of two). This is usually used in algebra - you can find this on a higher paper.

We can express inequalities as symbols or number lines or even be asked to solve an inequality.

Greater Than (>): This inequality symbol (>), read as "greater than," denotes that the value on the left is larger than the value on the right.

Example: 

5

>

3

5>3

Less Than (<): The symbol (<), read as "less than," indicates that the value on the left is smaller than the value on the right.

Example: 

2

<

7

2<7

Greater Than or Equal To (

≥

≥): This symbol (

≥

≥), read as "greater than or equal to," signifies that the value on the left is either greater than or equal to the value on the right.

Example: 

4

≥

4

4≥4

Less Than or Equal To (

≤

≤): The symbol (

≤

≤), read as "less than or equal to," means that the value on the left is either less than or equal to the value on the right.

Example: 

6

≤

6

6≤6

Not Equal To (

≠



=): The symbol (

≠



=), read as "not equal to," indicates that the values on both sides are not the same.

Example: 

3

≠

8

3



=8

There are five types of inequality in Maths as follows:

1. Greater Than (>).
2. Less Than (<).
3. Greater Than or Equal (>=)
4. Less Than or Equal (<=)
5. Not Equal to (≠)

Inequalities are manly >, <, lessthen or equal, greater than or equal.

Greater than, less than, greater than equal, less than equal, and equal sign

Fortunately there is only one equality, which means there are plenty of inequalities! So,

A scalene triangle, its the left out triangle where none of the sides are equal!

But technically the definitions of inequality are not equal to, greater than, less than, greater than or equal and less than or equal.

The last two might be equal, but cannot be assumed.

Greater than (>), Less than (<), Not equal (=), Greater than or equal (>=), Less than or equal (<=)

strictly less than (<), strictly greater than (>), less than or equal to (<=) greater than or equal to (>=) and not equal to (#)