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1.1 Sets And Their Representations

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Part of NCERT 11 Mathematics

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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: {element1, element2, element3, ...}\{\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:property of x}\{x : \text{property of } x\}

Or: {x∣property of x}\{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 {1,4,9,16,25}\{1, 4, 9, 16, 25\} in set-builder form: