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Unformatted text preview: not equal to any one of r 1 , r 2 , r 3 , .... (a) Complete the following deFnition of r: d i = 4 if d ii 6 = 4 d i = 5 if d ii = ?4 (b) Indicate why r is not equal to any of r 1 , r 2 , r 3 , ..... ith digit of r is di±erent from the ith digit of r i ∀ i 5. Indicate if the following sets are countable . (a) Set of all odd positive integers. Yes, countable because of the one to one correspondence between Z + and the set of all odd positive integers, as shown below. 1 2 3 4 . . . ^ ^ ^ ^     v v v v 1 3 5 7. . . (b) Set of all odd integers. 2 Yes, countable because of the one to one correspondence between Z + and the set of all odd positive integers, as shown below. 1 2 3 4 5 6. . . ^ ^ ^ ^ ^ ^       v v v v v v 11 22 33 . . . 3...
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 Spring '08
 SaktiPramanik
 Computer Science, Rational number, odd positive integers

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