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.

Question

Philoid · Accepted Answer

Given, (x, y) R 2x + 3y = 12

where x and y {0,1,2,…,10}

2x + 3y = 12

⇒ 2x = 12 – 3y

On putting y=0,

On putting y=2,

On putting y=4,

∴ R = {(0, 4), (3, 2), (6, 0)}