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Sets — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSSets1 Mark
Question
Describe the following sets in Roster form:
{1, 4, 9, 16, ..., 100};
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Answer

In set Builder form, a set s 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'.
As 12 = 1
22 = 4
32 = 9
:
:
102 = 100
$\therefore$ The above set may be described as $\{\text{x}^2 : \text{x} \in \text{N 8c } 1 \leq\text{ x} \leq{ 10}\}.$

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