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I. 6x2 + 23x + 10 = 0 => 6x2 + 20x + 3x + 10 = 0 => 2x(3x + 10) + 1(3x + 10) = 0 => (2x + 1) (3x + 10) = 0 => x = -1/2, -10/3 II. 2y2 - 3y - 5 = 0 => 2y2 - 5y + 2y - 5 = 0 => y(2y - 5) + 1(2y - 5) = 0 => (y + 1) (2y - 5) = 0 => y = -1, 5/2 Hence, x = y or the relationship cannot be established.
Statements: L ≥ M = N > O, R < M ≤ P > Q
Conclusion:
I. O ≥ Q
II. R < L
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