α is the maximum value of 1 − 2x − 5x2 and β is the minimum value of x2 − 2x + r. If 5αx2 + βx + 6 > 0 for all real values x, then the interval in which r lies is

1
(0, 5)
2
(−5, ∞)
3
(−∞, 7)
4
More than one of the above
5
None of the above

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