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Set Builder Form

Write the fol...

Question

Write the following sets in set-builder (Rule Method) form
$B_{1}$ = {6, 9, 12, 15, .....}

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Solution

Since, $6 = 3 (1) + 3$
$9 = 3 (2) + 3$
$12 = 3 (3) + 3$
and so on,
We have $B_{1} =$ { $x : x = 3 n + 3, n ϵ N$ }

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