The relation R defined on set A = x: | x |

Question

The relation R defined on set A = x: | x | < 3, x ∈ 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

Tardigrade Admin · Accepted Answer

Given, set is A= x:|x| < 3, x ∈ I A= x:-3 < x < 3, x ∈ I = -2,-1,0,1 Also, R= (x, y): y=|x| ∴ R= (-2,2),(-1,1),(1,1),(0,0),(2,2)

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

${- 2, 2), (- 1, 1), (0, 0), (1, 1), (2, 2)}$

$(- 2, - 2), (- 2, 2), (- 1, 1), (0, 0), (1, - 2), (1, 2), (2, - 1), (2, - 2)$

${0, 0), (1, 1), (2, 2)}$

None of the above

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

Q. The relation R defined on set A={x:∣x∣<3,x∈I} by R={(x,y):y=∣x∣}is

{−2,2),(−1,1),(0,0),(1,1),(2,2)}

(−2,−2),(−2,2),(−1,1),(0,0),(1,−2),(1,2),(2,−1),(2,−2)

{0,0),(1,1),(2,2)}