Gujarat 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 ' $l$ ' is read as 'such that'. As $1^2=12^2=43^2=9:: 10^2=100 \therefore$ The above set may be described as $\left\{ x ^2: x \in N 8 c 1 \leq x \leq 10\right\}$.
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