Question

A = {1,2,3,4,5} Let phi be empty relation on A. Then phi is​

Answer 1

Given:

A = {1,2,3,4,5}

$\phi = \ empty \ set \ of \ A$

To find:

$\phi=?$

Solution:

A = {1,2,3,4,5}

$\to \phi = \ empty \ set \ of \ A$

$\to \phi (A)= \{ \phi, 1,2,3,4,5\}$

$\to A(\phi)= \{ \phi, \{1\},\{2\},\{3\},\{4\},\{5\},\{1,2\},\{1,3\},\{1,4\},\{1,5\},$

                 $\ \ \ \ \ \ \{2,1\}, \{2,2\},\{2,3\}, \{2,4\}, \{2,5\}, \{3,1\}, \{3,2\},\{3,3\}, \{3,4\},$

                 $\ \ \ \ \ \ \ \ \ \ \ \ \ \{3,5\}, \{4,1\}, {4,2\},\{4,3\},\{4,4\}\{4,5\},\{5,1\},\{5,2\}\{5,3\}\{5,4\}, \{5,5\}\}$

That's why the "$\phi(A)= \phi$".