Question

The relation $R$ defined on set $A=\{x:|x|<3,xϵI\}$ by $R=\left\{\right(x,y):y=|x|\}$ is

• A. $\left\{\right(-2,2),(-1,1),(0,0),(1,1),(2,2\left)\right\}$
• B. $\left\{\right(-2,2),(-2,2),(-1,1),(0,0),(1,-2),(2,-1),(2,-2\left)\right\}$
• C. $\left\{\right(0,0),(1,1),(2,2\left)\right\}$
• D. None of the above

Answer 1

The correct option is A $\left\{\right(-2,2),(-1,1),(0,0),(1,1),(2,2\left)\right\}$

$R$ defined on set $A=\{x:|x|<3,xϵI\}$ by $R=\left\{\right(x,y):y=|x|\}$

$A=\{x:|x|<3,xϵI\}$

$=\{x:-3<x<3,xϵI\}$

$\therefore$ $R=\left\{\right(x,y):y=|x|\}$

$=\left\{\right(-2,2),(-1,1),(0,0),(1,1),(2,2\left)\right\}$

Hence, option A is correct.