Answered: Come up with a set A and a function d :…

Come up with a set A and a function d : A × A → {0, 1, 2, 3} which is symmetric and satisfies d(x, y) = 0 ⇔ x = y, but does not satisfy the triangle inequality satisfies.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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Question

Come up with a set A and a function d : A × A → {0, 1, 2, 3}
which is symmetric and satisfies d(x, y) = 0 ⇔ x = y, but does not satisfy the triangle inequality satisfies.

how do I even start questions like this?

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

Expert Solution