## 1.3 Empty Set

__1.3 Empty Set ( Null Set or Void Set)__

A set which ** does not contain any
element** is called the

*or the*

__empty set__

*or the*

**null set***.*

__void set__

Empty Set | Reason for empty set / explanation |
---|---|

A = {x : 1 < x < 2, x is a natural number} |
there is no natural number between 1 and 2 |

B = {x : x^{2} – 2 = 0 and x is rational number} |
x^{2} – 2 = 0 is not satisfied by any rational value of x |

C = {x : x is an even prime number
greater than 2} | 2 is the only even prime number |

D = { x : x^{2} = 4, x is odd
} | x^{2} = 4 is not satisfied by any odd value of x. |

**Note:-** ** Empty set** is denoted by the
symbol

__φ (read as "Phi") or { }.__.

Last modified: Friday, 24 June 2022, 8:32 PM