(a) Recall that R denotes the set of all real numbers and Q denotes the set...

   

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(a) Recall that R denotes the set of all real numbers and Q denotes the set of all rational numbers. Show that the following two sets are equal: {x|x(x+x-6) and x 0} and {0, 2,2}\Y, where Y = R\Q. (b) List without repetition all subsets of the set {0, 1, 2}. (c) List without repetition all subsets of the set {0, {0}}. (a) Recall that R denotes the set of all real numbers and Q denotes the set of all rational numbers. Show that the following two sets are equal: {x|x(x+x-6) and x 0} and {0, 2,2}\Y, where Y = R\Q. (b) List without repetition all subsets of the set {0, 1, 2}. (c) List without repetition all subsets of the set {0, {0}}.