Describe the following sets in set-builder form: 5, 25, 125 625 ; - Vidyadip

Question

Describe the following sets in set-builder form:
{5, 25, 125 625};

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Answer

In set builder form, a set is describerd by some characterising property p(x) of its elements x. In this case a set can be described as {x : p((x) hold}.
OR
{x | p(x) hold} which are read as 'The set of all x such that p(x) hold'. The symbols ':' or 'I' is read as 'such that'.
$\because {5}^1=5\\{5}^2=25\\{5}^3=125\\{5}^4=625$
$\therefore$ The above se can be describded as $\{\text{x : x}={5}^\text{n},1\leq\text{n}\leq4\}.$

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