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GCSE

Equations and Inequalities

Question

What are the 5 types of inequality in maths?

3 years ago

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71 Replies

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7068 views

D

Darryl Mertz


71 Answers

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The five inequality symbols in Maths are greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), and not equal to symbol (≠)

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  1. Greater than. x>y
  2. less than. x<y
  3. equal to. x=y
  4. greater or equal to. x>=y
  5. less or equal to. x<=y

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V
Varad Kulkarni
  1. Greater than (>)
  2. Less than (<)
  3. Greater than or equal to (≥)
  4. Less than or equal to (≤)
  5. Not equal to (≠)
Tangeela A Profile Picture
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English & Maths Tutor

 Not equal (≠), Strict Inequalities (>, <), and Slack Inequalities (≥, ≤).

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M
Marcus Annegarn

Great than, Less than, Greater or equals, Less than or equals, not equals.

D
Dan Bai

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. 

M
Michaela Sukenikova

1) >

2) <

3)

4)

5)

Daniel H Profile Picture
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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.


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Ally Bo Profile Picture
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Oxford graduate in chemistry, Oxbridge application tutor for 8 years

Greater Than (>)

Less Than (<)

Greater Than or Equal to (>)

Less Than or Equal to (<)

Not Equal to (≠)

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M
Maham Akram

The five inequality symbols in Maths are greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), and not equal to symbol (≠).

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Hiya! I'm Sam. I've been tutoring fun maths sessions for 3 years.

< means less than

≤ means less than or equal to

= means equal to

≥ means greater than or equal to

> means greater than

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G
Gabrielle Amaa

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

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Qualified teacher with 20 years' classroom experience

5 reviews

The five inequality symbols in Maths are greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), and not equal to symbol (≠).

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Steven B Profile Picture
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Great than, less than, greater than or equal to, less than or equal to or not equal to

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H
Helen Ogunsola

Less than

Greater than

Less than or equal to

Greater than or equal to

Equal to

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