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JEE Advance - Mathematics (1978 - No. 12)

Find all integers $$x$$ for which $$\left( {5x - 1} \right) < {\left( {x + 1} \right)^2} < \left( {7x - 3} \right).$$
x = 1
x = 2
x = 3
x = 4
x = 5

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