2.Relations and FunctionsMedium

ધારો કે $A=\{1,2\}, B=\{1,2,3,4\}, C=\{5,6\}$ અને $D=\{5,6,7,8\},$ તો નીચેનાં પરિણામો ચકાસો : $A \times C$ એ $B \times D$ નો ઉપગણ છે.

Solution

To verify: $A \times C$ is a subset of $B \times D$

$A \times C=\{(1,5),(1,6),(2,5),(2,6)\}$

$A \times D=\{(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),$

$(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)\}$

We can observe that all the elements of set $A \times C$ are the elements of set $B \times D$. Therefore, $A \times C$ is a subset of $B \times D$

જો $A$ અને $B$ બે ગણ હોય તો $A × B = B × A$ થવા માટે. . .

Easy

Easy

Easy

Easy

Easy