Question

The intersection graph of a collection of sets A₁, A₂,...,A_n is the graph that has a vertex for each of these sets and has an edge connecting the vertices representing two sets if these sets have a nonempty intersection.

If A={ ...,−4,−2,0 }, B={ ...,−2,−1,0,1,2,... }, C={ ...,−6,−4,−2,0,2,4,6,... }, D={ ...,−5,−3,−1,1,3,5,... }, and E={ ...,−6,−3,0,3,6,... }, then which of the given sets below represents the set of all edges E for the intersection graph concerning the given sets A, B, C, D, and E?

E = { (A,B), (A,C), (A,E), (B,C), (B,D), (B,E), (C,E), (D,E) }

E = { {A,B}, {A,C}, {A,E}, {B,C}, {B,D}, {B,E}, {C,E}, {D,E} }

E = { A, B, C, D, E }

E = { {A,B}, {A,C}, {B,C}, {B,D}, {C,E}, {D,E} }

E = { (B,A), (C,A), (E,A), (C,B), (D,B), (E,B), (E,C), (E,D) }

E = { {B,A}, {C,A}, {E,A}, {C,B}, {D,B}, {E,B}, {E,C}, {E,D} }

E = { A, B, A, C, A, E, B, C, B, D, B, E, C, E, D, E }

Answer 1

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