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More Lessons for GCSE Maths

Math Worksheets

**What is a Set?**

A set is a well defined group of objects or symbols. The objects or symbols are called elements of the set.

**Set-Builder Notation**

A collection of numbers can be described as a set. For example, {1,3,5,9,13} is a set containing the listed numbers.

Set-builder notation can be used to build or describe a set. This is especially helpful if the set has an infinite number of numbers or elements.

Example:

{x:x ≥ -2} or {x|x ≥ -2}

We say, "the set of all x's, such that x is greater than or equal to negative two".

Examples:

1. Graph the interval, then express using inequalities and set-builder notation.

Interval notation: (-∞, 3]

2. Graph the interval, then express using inequalities and set-builder notation.

Inequality: -2 < x ≤ 6

3. Give set-builder notation for each set of numbers.

The set of even numbers. {...-4,-2,0,2,4,...}

**Set Notation**

Roster Method, Set Builder Notation**Sets and Set Notation**

**Set notation**

Set notation an intro to Venn diagrams (IGCSE)**Set Notation(s)**

A discussion of set notation: lists, descriptions, and set-builder notation.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for GCSE Maths

Math Worksheets

A set is a well defined group of objects or symbols. The objects or symbols are called elements of the set.

A collection of numbers can be described as a set. For example, {1,3,5,9,13} is a set containing the listed numbers.

Set-builder notation can be used to build or describe a set. This is especially helpful if the set has an infinite number of numbers or elements.

Example:

{x:x ≥ -2} or {x|x ≥ -2}

We say, "the set of all x's, such that x is greater than or equal to negative two".

Examples:

1. Graph the interval, then express using inequalities and set-builder notation.

Interval notation: (-∞, 3]

2. Graph the interval, then express using inequalities and set-builder notation.

Inequality: -2 < x ≤ 6

3. Give set-builder notation for each set of numbers.

The set of even numbers. {...-4,-2,0,2,4,...}

Roster Method, Set Builder Notation

Set notation an intro to Venn diagrams (IGCSE)

A discussion of set notation: lists, descriptions, and set-builder notation.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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