Set Builder Notation Example

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 ‘