Question

Let A = { 2, 3, 6 } Which of the following relations on A are reflexive?

Options

• `"R"_2 = {( 2,2 ) , ( 3,3 ) , ( 3,6 ) , ( 6,3 )}`

• `"R"_1 = {( 2,2 ) , ( 3,3 ) , ( 6,6 )}`

• None of these

• `"R"_3 = {( 2,2 ) , ( 3,6 ) , ( 2,6 )}`

Answer 1

`"R"_1 = {( 2,2 ) , ( 3,3 ) , ( 6,6 )}`

Explanation:

Because ( a,a ) `in "R"_1` for any an A, R₁ is a reflexive on A.