Question: Translate each of these nested quantifications into an English statement that expresses a mathematical fact. The domain in each case consists of all real numbers.

Translate each of these nested quantifications into an English statement that expresses a mathematical fact. The domain in each case consists of all real numbers. (4 points)

a) xy(xy = y)

b) xy(((x < 0) (y < 0)) (xy > 0))

c) xy((x2 > y) (x < y))

d) xyz (x + y = z)

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