a. Recall that ordered pairs must have the property that (x, y) = (u, v) if and only if
Chapter 4, Problem 38(choose chapter or problem)
a. Recall that ordered pairs must have the property that (x, y) = (u, v) if and only if x = u and y = v. Prove that {{x}, {x, y}} = {{u}, {u, v}} if and only if x = u and y = v. Therefore, although we know that (x, y) {x, y}, we can define the ordered pair (x, y) as the set {{x}, {x, y}}. b. Show by an example that we cannot define the ordered triple (x, y, z) as the set {{x}, {x, y}, {x, y, z}}.
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