Let Q(x, y) be the predicate “If x<y then x2<y2” with domain for both x and y being the set R of real numbers.
a. Explain why Q(x, y) is false if x = −2 and y = 1.
b. Give values different from those in part (a) for which Q(x, y) is false.
c. Explain why Q(x, y) is true if x = 3 and y = 8.
d. Give values different from those in part (c) for which Q(x, y) is true.
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