If S - y - y - x-3- x is a negative integer- then - belongs to S-4827-1

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Standard VII

Mathematics

Set Builder Method

If S = y : y ...

Question

If S = {y : y = x^3, x is a negative integer}, then _____ belongs to S.

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Each set X, contains 5 elements and each set Y, contains 2 elements and $⋃_{r = 2}^{20} X_{r} = S = ⋃_{r = 1}^{n} Y_{r}$ . If each element of S belongs to exactly 10 of the $X_{r}^{^{'} s}$ and to exactly 4 of $Y_{r}^{^{'} s}$ then find the value of n.