Answer to Question #309143 in Discrete Mathematics for blaize

Question #309143

In a Hasse diagram of a poset (𝐴, ≤), a pair of distinct elements 𝑎 and 𝑏 of 𝐴 are connected by a line


segment if, and only if,


A) either 𝑎 ≤ 𝑏 and there is no 𝑐 ∈ 𝐴 such that 𝑎 ≤ 𝑐 ≤ 𝑏, or else 𝑏 ≤ 𝑎 and there is no 𝑐 ∈ 𝐴 such


that 𝑏 ≤ 𝑐 ≤ 𝑎.


B) either 𝑎 ≤ 𝑏 or else 𝑏 ≤ 𝑎.


C) 𝑎 ≰ 𝑏 and 𝑏 ≰ 𝑎.


D) 𝑎 ≤ 𝑏.



Much appreciate!

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