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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