13. Prove each of the following propositions: * (a) For each real number 0, if 0 < 0 <, then [sin(6) + cos(8)] > 1. (b) For all real numbers a and b, if a # 0 and b # 0, then va? + b2 # a + b. (c) If n is an integer greater than 2, then for all integers m, n does not divide m or n + m # nm. (d) For all real numbers a and b, if a > 0 and b > 0, then 4 a +b a +

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