Question

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

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

Answer 1

Answer: (A)

Given, set is $A=\{x:|x| < 3, x \in I\}$
$A=\{x:-3 < x < 3, x \in I\}=\{-2,-1,0,1\}$
Also, $R=\{(x, y): y=|x|\}$
$\therefore R=\{(-2,2),(-1,1),(1,1),(0,0),(2,2)\}$