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Sets — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSSets1 Mark
Question
Describe the following sets in set-builder form:
$\text{B}=\{1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, ...\};$
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Answer

In set Builder form, a set is described by some characterising property P(x) of its elements x. In this case a set can be described as {x : P(x) hold} which is read as 'the set of all x such that P (x) holds'. The symbols ':' or 'I' is read as 'such that'. $ \text{B}=\Big\{\text{x: x}=\frac{1}{\text{n}},\text{n}\in\text{N}\Big\}$
i.e. B is the set of all those x such that $\text{x}=\frac{1}{\text{n}}, \text{where}\text{ n}\in\text{N.}$

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