Describe the following sets in Roster form: 2, 4, 6, 8 ..... ; - Vidyadip

Question

Describe the following sets in Roster form:
{2, 4, 6, 8 .....};

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Answer

In set B builder from, a set of described by some characterising property p(x) of it elements x. In this case a set can be describ as {x : p(x) hold}.
OR
{x | p(x) hold} which is read as 'The set of all x such that p(x) hold'. The symbol ':' or 'I' is read as 'such that'. The given set can be described as $\{\text{x : x = 2n, n}\in \text{N}\}(\therefore 2, 4, 6,...\text{are multiples of 2}).$

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