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Sets — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSSets1 Mark
Question
Write the set $\left[\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7}\right]$  in the set-builder form.
✓

Answer

Here,we see that each member in the given set has the numerator one less than the denominator. Also, the numerator begin from 1 and do not exceed 6.
Therefore, in the set-builder form the given set is {x : x = $\frac{n}{n+1}$, here n is a natural number and 1 $\leq$ n $\leq$ 6}

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