Exercise 4 (Proving a fact about Cartesian products). Let X CR² be a cartesian product of two subsets of R, i.e. there erist C, DCR such that X = C x D. Prove (rigorously) that if {(-3, 1), (0, -2), (6, 2)} CX, then X contains at least nine points. Which ones?

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Exercise 4 (Proving a fact about Cartesian products). Let X CR² be a cartesian
product of two subsets of R, i.e. there exist C, DCR such that X = C x D.
Prove (rigorously) that if {(-3, 1), (0, -2), (6, 2)} CX, then X contains at least
nine points. Which ones?
Transcribed Image Text:Exercise 4 (Proving a fact about Cartesian products). Let X CR² be a cartesian product of two subsets of R, i.e. there exist C, DCR such that X = C x D. Prove (rigorously) that if {(-3, 1), (0, -2), (6, 2)} CX, then X contains at least nine points. Which ones?
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