Translate each ofthese nested quantifications into an

Chapter 1, Problem 1.4.25

(choose chapter or problem)

Translate each ofthese nested quantifications into an English statement that expresses a mathematical fact. The domain in each case consists of all real numbers. a) 3xVy(xy = y) b) VxVy(((x < 0) /\ (y < 0 --+ (xy > 0 e) 3x3y((x2 > y) /\ (x < y d) VxVy3z(x + y = z)

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