The smallest integer x for which the inequality x-7x2+5x-36>0 is given by
Explanation:
The LHS is of the form: (x – 7) / (x + 9) (x – 4)
For x > 7, the expression will be positive.
Similarly, for any negative integer,
[(x – 7)/(x – 4)] will always be positive.
For the expression to be positive,
(x + 9) > 0 i.e. x > −9
Hence, the smallest integer that satisfies this inequality is x = −8
Hence, option (d)
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