Question

The relation $R$ defined in $A=\{1,2,3\}$ by a $R$ b if $\left|a^2-b^2\right| \leq 5$. Which of the following is false

(A) $R=\{(1,2),(2,2),(3,3),(2,1),(2,3),(3,2)\}$

(B) Co-domain of $R=\{1,2,3\}$

(C) Domain of $R=\{1,2,3\}$

(D) Range of $R=\{1,2,3\}$

Answer 1

$A=\{1,2,3\} $

$\left|a^2-b^2\right| \leq 5 \quad-5 \leq a^2-b^2 \leq 5 $

$R=\{(1,1),(1,2),(2,1),(2,2),(2,3),(3,2),(3,3)\}$

$\text { Domain of } R=\{1,2,3\} $

$\text { Range of } R=\{1,2,3\}$