Write the following in set builder form:
(a) $1, 3, 5, 7, 9, 11, 13$
(b) $3, 6, 9, 12, 15$

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Solution

(a)

The set builder form of $1, 3, 5, 7, 9, 11, 13$ is,

$A = {x : x i s a n o d d n u m b e r, 1 \leq x \leq 13}$

(b)

The set builder form of $3, 6, 9, 12, 15$

$A = {x : x i s t h e m u l t i p l e o f 3, 3 \leq x \leq 15}$

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{1, 4, 9, 16, 25, 36}

{2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

{4, 8, 12, 16, 20, 24, . . .}

{1, 4, 9, 16, 25, . . . . .}

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B = {2, 4, 6, 8, 10, . . .}

A \cup B

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