Let A = {1, 2, 3} and R = {(a, b) : | a2− b2 | ≤5, a, b A}. Then write R as set of ordered pairs.

Here,A={1,2,3}R={(a,b) : |a2-b2|≤5,a,b ϵ A}={(1,1),(1,2),(2,1),(2,2),(2,3),(3,2),(3,3)}

Q6 of 76 Page 2

Let A = {1, 2, 3} and R = {(a, b) : | a²− b² | ≤5, a, b A}. Then write R as set of ordered pairs.

Here,A={1,2,3}

R={(a,b) : |a²-b²|≤5,a,b ϵ A}

={(1,1),(1,2),(2,1),(2,2),(2,3),(3,2),(3,3)}

If R = {(x, y) : x, yZ, x² + y²≤ 4} is a relation defined on the set Z of integers, then write domain of R.

If R is a relation from set A = {11, 12, 13} to set B = {8, 10, 12} defined by y = x − 3, the write R⁻¹.

Let R = {(x, y) : x, y Z, y = 2x − 4}. If (a, −2) and (4, b²)R, then write the values of a and b.

If R = {(2, 1), (4, 7), (1, −2), ...}, then write the linear relation between the components of the ordered pairs of the relation R.