Set builder notation Example:

Set builder notation Example |
Descriptive form of set |
Tabular form of set Notation |

{ x/x ∈ N ∧ 15 } |
Set of first 15 natural number |
{1,2,3,4…….} |

{ x/x ∈ N ∧ 2<x<14 } |
Set of natural number between 2 and 14 |
{ 3,4,5…….13} |

{ x/ x ∈ Z ∧ -4 <x< 4} |
Set of integer between -4 and 4 |
{-3,-2,-1,0,1,2,3} |

{ x/ x ∈ E ∧ 2 <x≤ 4} |
Set of even number between 2 and 5 |
{4} |

{ x/ x ∈ p ∧ x<14} |
Set of prime number less than 14 |
{2,3,5,7,11,13} |

{ x/ x ∈ O ∧ 5 < x< 17} |
Set of odd integer between 5 and 17 |
{ 7,9,11,13,15} |

{ x/ x ∈ E ∧ 4 ≤x≤ 10} |
set of even integer between 4 and 10 |
{ 4,6,8,10} |

{ x/ x ∈ E ∧ 4 < x< 6} |
Set of even integer between 4 and 6 |
{ } |

{ x/ x ∈ O ∧ 5 ≤ x≤ 7} |
Set of odd integer from 5 to 7 |
{5,7} |

{ x/ x ∈ N ∧ x +4 =0} |
Set of natural number satisfying equation x+4 =0 |
{ } because x = -4∉ N |

{ x/ x ∈ Q ∧ x² =2} |
Set oer satisfying equation x² = 2f Rational numb |
{ } because x =±√2
but x =±√2 ∈ Q’ |

{ x/ x ∈ R ∧ x =x } |
Set of real number satisfying equation x = x |
R |

{ x/ x ∈ Q ∧ x = -x } |
Set of rational number satisfying equation x = -x |
{o} because x = -x
⇒x + x = 0 ⇒2 x = 0 ⇒ x =0 |

{ x/ x ∈ R ∧ x ≠2} |
Set of real number except 2 |
R – { 2 } |

{ x/ x ∈ R ∧ x ∉ Q} |
Set of all real number which are not rational i.e set of rational number |
Q ‘ |

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Roster or tabular form of set

Order of a set

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