This is a multi-part question. Once an submitted, you will be unable to to this par L Let A be a positive integer representing an authority class and C be a subset of a finite set of compartments, with (A₁, C₁) (A2, C₂) if and only if A₁ A2 and G₁ = C₂. Identify the correct steps involved in proving that S is a poset under the relation <. (Check all that apply.) Check All That Apply (A,C) (A,C), since A≤A and Cc C; so, is reflexive. Suppose that (4₁, G₁) (A2.C₂) and (A2.C₂) ≤ (A₁, C₁). This means that A₁ ≤4₂, G≤ C₂, A2 ≤ A₁, and C₂ ≤ G. This implies that A₁ = A2 and G₁ = C₂. So, (A₁.G₁) = (A2, C2). Suppose that (4₁, G₁) (A2.C₂) and (A2.C2) (A₁.G₁). This means that A₁

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NOTE This is a multi-part question. Once an answer is submitted, you will be
eturn to this pan.
Let A be a positive integer representing an authority class and C be a subset of a finite set of compartments, with (A₁,
C₁) (A2, C₂) if and only if A₁ A2 and G₁ = C₂.
Identify the correct steps involved in proving that S is a poset under the relation <. (Check all that apply.)
Check All That Apply
(A,C) (A,C), since A≤A and Cc C, so, is reflexive.
Suppose that (4₁, G) (A2, C₂) and (A2.C₂) ≤ (A₁.G₁). This means that A₁ ≤A2, G≤ C₂, A₂ ≤ A₁, and C₂ ≤ G.
This implies that A₁ A2 and G₁ = C₂. So, (A₁.G₁) = (A2, C₂).
Suppose that (4₁, G₁) (A2.C₂) and (42. C₂) (A₁, C₁). This means that A₁ < A2, G C C₂, A2<A₁, and C₂ C G₁.
This implies that A₁ <A2 and G C C₂. So, (A₁.G₁) (A2.C₂).
Transcribed Image Text:NOTE This is a multi-part question. Once an answer is submitted, you will be eturn to this pan. Let A be a positive integer representing an authority class and C be a subset of a finite set of compartments, with (A₁, C₁) (A2, C₂) if and only if A₁ A2 and G₁ = C₂. Identify the correct steps involved in proving that S is a poset under the relation <. (Check all that apply.) Check All That Apply (A,C) (A,C), since A≤A and Cc C, so, is reflexive. Suppose that (4₁, G) (A2, C₂) and (A2.C₂) ≤ (A₁.G₁). This means that A₁ ≤A2, G≤ C₂, A₂ ≤ A₁, and C₂ ≤ G. This implies that A₁ A2 and G₁ = C₂. So, (A₁.G₁) = (A2, C₂). Suppose that (4₁, G₁) (A2.C₂) and (42. C₂) (A₁, C₁). This means that A₁ < A2, G C C₂, A2<A₁, and C₂ C G₁. This implies that A₁ <A2 and G C C₂. So, (A₁.G₁) (A2.C₂).
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A=positive integer representing an authority class

C=subset of a finite set of compartments with 

(A1,C1)≤(A2,C2) if and only if A1≤A2 and C1⊆ C2 

 

 

 

 

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