For b R, let Lb = {(x, y) = R : x = b}, and...

 

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For b € R, let Lb = {(x, y) = R² : x = b}, and let C = {L₁ : b ≤ R} be an indexed family of sets. a. What is the index set in this example? b. Describe Lias a cross product c. Prove or disprove, for a ‡b, La ^ Lb = Ø. For b € R, let Lb = {(x, y) = R² : x = b}, and let C = {L₁ : b ≤ R} be an indexed family of sets. a. What is the index set in this example? b. Describe Lias a cross product c. Prove or disprove, for a ‡b, La ^ Lb = Ø.

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SOLUTION a The index set in this example is the set of real numbers R b We can describe Lb as ... View the full answer