Question

Given 𝐀={𝟏, 𝟐, 𝟑, 𝟓} and 𝐁={𝟒, 𝟔, 𝟗} and a relation 𝐑 from 𝐀 to 𝐁 by 𝐑={(𝐱, 𝐲): 𝐭𝐡𝐞 𝐝𝐢𝐟𝐟𝐞𝐫𝐞𝐧𝐜𝐞 𝐛𝐞𝐭𝐰𝐞𝐞𝐧 𝐱 𝐚𝐧𝐝 𝐲 𝐢𝐬 𝐨𝐝𝐝; 𝐱 ∈ 𝐀, 𝐲 ∈ 𝐁}. Write 𝐑 in roster form.

Answer 1

𝐀={𝟏, 𝟐, 𝟑, 𝟓} and 𝐁={𝟒, 𝟔, 𝟗}
𝐑={(𝐱, 𝐲): 𝐭𝐡𝐞 𝐝𝐢𝐟𝐟𝐞𝐫𝐞𝐧𝐜𝐞 𝐛𝐞𝐭𝐰𝐞𝐞𝐧 𝐱 𝐚𝐧𝐝 𝐲 𝐢𝐬 𝐨𝐝𝐝; 𝐱 ∈ 𝐀, 𝐲 ∈ 𝐁}
$\therefore R=\left\{\right(1,4),(1,6),(2,9),(3,4),(3,6),(5,4),(5,6\left)\right\}$