Explain how alfred's argument contradicts his initial assumption proving that the sum cannot be rational. a) if c is rational, either b or a would have to be rational as well. b) if a is rational, either b or c would have to be rational as well. c) if b is irrational, the difference of two rational numbers could never be equal to it. d) if a + b is rational, then a and a could be either rational or irrational.

the argument of alfred t. mahan, henry cabot lodge, and albert j. beveridge was the economically and mass production the the americans could not consume themselves. this led expansion to sell to other foreign nations for profits.

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if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

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