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# 250- Kruskal/Sekora HW 10B Due Mon, May 13 201 4. (20 points) For each of the following sets, tell whether the set is countable or uncountable, then justify briefly (a) The power set of [the set o...

250- Kruskal/Sekora HW 10B Due Mon, May 13 201 4. (20 points) For each of the following sets, tell whether the set is countable or uncountable, then justify briefly (a) The power set of [the set of all even natural numbers) (b) The set fr x, y EQ+ (that is, the set of all numbers that can be represented as one positive rational number to the power of another positive rational number) consisting only of a's, (c) The set of all finite strings c 'b's, and 'c's (example elements: 'a', 'bb bcabc', cccb (d) The set of all ordered pairs (x.y) such that z and y are real-valued solutions to the equation y=x2 + 3x + 2. (e) The set lvrIneZ+, eQ+ (that is, the set of all positive integer roots of positive rational numbers)

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