Let A the positive integers and let R be the relation defi

Let A = ?⁺, the positive integers, and let R be the relation defined by a R b if and only if 4a > 2b + 3.

Give two ordered pairs that belong to R.

Give two ordered pairs that do not belong to R.

Z+ belongs to the set of positive integers starting from 1 and going to infinity

We need to find two ordered pairs that belong to R if and only if 4a > 2b + 3

Consider the points (2,1) and (5,2)

For the point (2,1)

4 * 2 > 2*1 + 3 => 8>5 (Hence the ordered pair (2,1) belongs to the set)

For the point (4,2)

4 * 4 > 2*2 + 3 => 16>7 (Hence the ordered pair (4,2) belongs to the set)

We need to find two ordered pairs that does not belong to R if and only if 4a > 2b + 3

Consider the points (1,2) and (2,4)

For the point (1,2)

4 * 1 > 2*2 + 3 => 4>7 => (Hence the ordered pair (1,2) does not belongs to the set)

For the point (2,4)

4 * 2 > 2*4 + 3 => 8>11 => (Hence the ordered pair (4,2) does not belongs to the set)

Answer to part A (2,1) and (4,2)

Answer to part B (1,2) and (2,4) which also implies that relation is not symmetric