A relation R is defined from A = {2, 3, 4, 5} to B = {3, 6, 7, 10} by xRy if and only if 'x divides y'. The relation R in roster form is:

Model Answer & Options

Source: Extra Practice

{(2, 6), (2, 10), (3, 3), (3, 6), (5, 10)}

{(2, 6), (2, 10), (3, 6), (5, 10)}

{(6, 2), (10, 2), (3, 3), (6, 3), (10, 5)}

{(2, 3), (3, 7), (4, 6), (5, 10)}

Explanation

We check each x ∈ A against y ∈ B: 2 divides 6 and 10; 3 divides 3 and 6; 4 divides nothing in B; 5 divides 10. Combining these, R = {(2, 6), (2, 10), (3, 3), (3, 6), (5, 10)}. Option B misses (3, 3). Option C is the inverse relation (yRx). Option D contains pairs where x does not divide y.

Take Topic Quiz

Test your understanding of this topic with instant AI feedback.

Start Interactive Test

Explore the Full Topic

This is just one question from the topic "Relation".

View All Questions

Related Questions