Question: Problem. Let set A={a,b,c,d}. We define three relations R1,R2 and R3 on A. They are represented as follows respectively in three directed graphs from left

Problem. Let set A={a,b,c,d}. We define three relations R1,R2 and R3 on A. They are represented as follows respectively in three directed graphs

Problem. Let set A={a,b,c,d}. We define three relations R1,R2 and R3 on A. They are represented as follows respectively in three directed graphs from left to right: Figure 1: Left: R1. Middle: R2. Right: R3. Answer the following questions: 3. Note the partial order you find in Question 2 as Rp. Let's say the poset is (A,Rp). - Is the poset a totally ordered set? - What are the maximal/minimal elements of the poset? - What are the greatest/least element of the poset? - Is the poset a lattice? Explain why

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