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1.Draw the Hasse diagram for: A = {1,2,3,4,5} R = {(1,1),(2,2),(3,3),(1,3),(3,4),(3,5),(1,4),(4,4),(1,5),(2,5),(2,5),(5,5)} 2.For the Hasse diagram for a relation on A = {1,5,10,15,30} under divisibility Draw

1.Draw the Hasse diagram for:

A = {1,2,3,4,5}

R = {(1,1),(2,2),(3,3),(1,3),(3,4),(3,5),(1,4),(4,4),(1,5),(2,5),(2,5),(5,5)}

2.For the Hasse diagram for a relation on A = {1,5,10,15,30} under divisibility

Draw the diagram.

What does 1 connect to?

What does 5 connect to

What does 10 connect to?

What does 15 connect to?

What does 30 connect to?

3.Explain what a partial order (POSET) is:

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