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SOLVED:For each of the following relations, determine whether the relation is reflexive, symmetric, antisymmetric, or transitive. a) ↶ ⊆𝐙^+ ×𝐙^+where a ℛ b if a |b (read "a divides b," as defined in Section 4.3 ). b) 𝒜 is the relation on 𝐙 where a 𝒜 b if a |b. c) For a given universe % and a fixed subset C of q, define ℛ on 𝒫(U) as follows: For A, B ⊆9 l, we have A 𝒜 B if A ∩C=B ∩C d) On the set A of all lines in 𝐑^2, define the relation 9 for two lines ℓ1, ℓ2 by ℓ1 ℛ ℓ2 if ℓ1 is perpend

SOLVED:For each of the following relations, determine whether the r…

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