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Problem 6 . ( 10 + 10 points ) Consider the subset C . = 0 1 ) CR . Recursively define the sets Ont

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Problem 6 . ( 10 + 10 points ) Consider the subset C . = 0 1 ) CR . Recursively define the sets Ont On 2 C U + 3 3 for n > 1 , where , if we let A - a 6 ) , then the notation A / 3 describes the interval a / 3 6 / 3 ) and the notation A + 2 3 describe the interval a + 2 3 6 + 2 3 ( a ) Describe and draw the sets C C2 C3 and Cy as a union of explicit intervals ( b ) Show that the intersection Of On is non- empty 1 1

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