Write the relation R = {(x, x³): x is a prime number less than 10} in roster form.

Find the inverse relation R^-1 in each of the following cases:

i. R= {(1, 2), (1, 3), (2, 3), (3, 2), (5, 6)}

ii. R= {(x, y) : x, y N; x + 2y = 8}

iii. R is a relation from {11, 12, 13} to (8, 10, 12} defined by y = x – 3

Write the relation R = {(x, x³): x is a prime number less than 10} in roster form.

A relation R is defined from a set A = {2, 3, 4, 5} to a set B = {3, 6, 7, 10} as follows: (x, y) R x is relatively prime to y. Express R as a set of ordered pairs and determine its domain and range.

Write the following relations as the sets of ordered pairs:

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

Determine the domain and range of the relation R defined by

R= {(x, x³): x is a prime number less than 10}

Let A = {3, 5} and B = {7, 11}. Let R = {(a, b): a A, b B, a-b is odd}. Show that R is an empty relation from into B.

Let A = {1, 2} and B={3, 4}. Find the total number of relations from A into B.

Write the following relations as the sets of ordered pairs:

A relation R on the set {0,1,2,…,10} defined by

2x + 3y = 12.

Write the following relations as the sets of ordered pairs:

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