Answer to Question #309143 in Discrete Mathematics for blaize

Question #309143

In a Hasse diagram of a poset (𝐴, ≀), a pair of distinct elements π‘Ž and 𝑏 of 𝐴 are connected by a line


segment if, and only if,


A) either π‘Ž ≀ 𝑏 and there is no 𝑐 ∈ 𝐴 such that π‘Ž ≀ 𝑐 ≀ 𝑏, or else 𝑏 ≀ π‘Ž and there is no 𝑐 ∈ 𝐴 such


that 𝑏 ≀ 𝑐 ≀ π‘Ž.


B) either π‘Ž ≀ 𝑏 or else 𝑏 ≀ π‘Ž.


C) π‘Ž β‰° 𝑏 and 𝑏 β‰° π‘Ž.


D) π‘Ž ≀ 𝑏.



Much appreciate!

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