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4. Let A = {1, 2, 3, 4, 5}. Let L = {(x, y) ∈ A...

4. Let A = {1, 2, 3, 4, 5}. Let L = {(x, y) ∈ A × A : x < y} and B = {(x, y) ∈ A × A : |x − y| = 1}.

i. Draw graphs representing L and B.

ii. Determine L ◦ B.

iii. Determine B ◦ B.

iv. Is B transitive? Explain.

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