1.1 Sets And Their Representations

3 lessons

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concept

Roster Form

Writing sets by listing

Roster Form: Just List Everything

The simplest way to write a set.

List all elements inside curly braces { }.

Separate with commas.

Format: $\{\text{element1, element2, element3, ...}\}$

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concept

Set-Builder Form

Writing sets by describing properties

Set-Builder Form: Describe the Rule

Instead of listing, describe what makes something a member.

Format: $\{x : \text{property of } x\}$

Or: $\{x | \text{property of } x\}$

The colon (:) or bar (|) means 'such that'

Read: 'The set of all x such that [property] is true'

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practice

Practice: Set Representations

Convert between set-builder and roster form

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Express $\{x : x^2 + x - 6 = 0\}$ in roster form:

← previous1. Sets next →1.2 Types Of Sets

concept

Roster Form

Writing sets by listing

Roster Form: Just List Everything

The simplest way to write a set.

List all elements inside curly braces { }.

Separate with commas.

Format: $\{\text{element1, element2, element3, ...}\}$

1 / 6

concept

Set-Builder Form

Writing sets by describing properties

Set-Builder Form: Describe the Rule

Instead of listing, describe what makes something a member.

Format: $\{x : \text{property of } x\}$

Or: $\{x | \text{property of } x\}$

The colon (:) or bar (|) means 'such that'

Read: 'The set of all x such that [property] is true'

1 / 8

practice

Practice: Set Representations

Convert between set-builder and roster form

1 / 6

Express $\{x : x^2 + x - 6 = 0\}$ in roster form: