Write the following relations as the sets of ordered pairs : (i) A rel

1.	Write the following relations as the sets of ordered pairs : (i) A relation R from the set {2, 3, 4, 5, 6} to the set {1, 2, 3} defined by x = 2y. (ii) A relation R from the set {1, 2, 3, 4, 5, 6, 7} defined by (x,y)ϵR⇔x is relatively prime to y. (iii) A relation R on the set {0, 1, 2, ...., 10} defined by 2x + 3y = 12. (iv) A relation R from a set A = {5, 6, 7, 8} to the set B = {10, 12, 15, 16, 18} defined by (x,y)ϵR⇔x divides y.
Answer» Write the following relations as the sets of ordered pairs : (i) A relation R from the set {2, 3, 4, 5, 6} to the set {1, 2, 3} defined by x = 2y. (ii) A relation R from the set {1, 2, 3, 4, 5, 6, 7} defined by $(x, y) ϵ R \Leftrightarrow x$ is relatively prime to y. (iii) A relation R on the set {0, 1, 2, ...., 10} defined by 2x + 3y = 12. (iv) A relation R from a set A = {5, 6, 7, 8} to the set B = {10, 12, 15, 16, 18} defined by $(x, y) ϵ R \Leftrightarrow x$ divides y.

Write the following relations as the sets of ordered pairs : (i) A relation R from the set {2, 3, 4, 5, 6} to the set {1, 2, 3} defined by x = 2y. (ii) A relation R from the set {1, 2, 3, 4, 5, 6, 7} defined by (x,y)ϵR⇔x is relatively prime to y. (iii) A relation R on the set {0, 1, 2, ...., 10} defined by 2x + 3y = 12. (iv) A relation R from a set A = {5, 6, 7, 8} to the set B = {10, 12, 15, 16, 18} defined by (x,y)ϵR⇔x divides y.

Answer»

Write the following relations as the sets of ordered pairs :

(i) A relation R from the set {2, 3, 4, 5, 6} to the set {1, 2, 3} defined by x = 2y.

(ii) A relation R from the set {1, 2, 3, 4, 5, 6, 7} defined by $(x, y) ϵ R \Leftrightarrow x$ is relatively prime to y.

(iii) A relation R on the set {0, 1, 2, ...., 10} defined by 2x + 3y = 12.

(iv) A relation R from a set A = {5, 6, 7, 8} to the set B = {10, 12, 15, 16, 18} defined by $(x, y) ϵ R \Leftrightarrow x$ divides y.