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Write each gi...

Question

Write each given set in the Set Builder Form.
$\{J a n a u a r y, M a r c h, M a y, J u l y, A u g u s t, O c t o b e r, D e c e m b e r\}$

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Solution

In set builder form set is described by stating a condition or property which an object or element must satisfy if it belongs to that set.
Given Roster form of Set is $\{J a n a u a r y, M a r c h, M a y, J u l y, A u g u s t, O c t o b e r, D e c e m b e r\}$
As it can be clearly seen the element in the set is the name of the months in a year which have $31$ days.
Therefore, $\{J a n a u a r y, M a r c h, M a y, J u l y, A u g u s t, O c t o b e r, D e c e m b e r\}$ can be written as $\{x : x i s a m o n t h o f a y e a r h a v i n g 31 d a y s\}$
Hence, Set Builder Form of $\{J a n a u a r y, M a r c h, M a y, J u l y, A u g u s t, O c t o b e r, D e c e m b e r\}$ is $\{x : x i s a m o n t h o f a y e a r h a v i n g 31 d a y s\}$

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