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Quantities $x$ and $y$ satisfy: I. $x^{2} - 19 x + 90 = 0$
II. $y^{2} - 11 y + 24 = 0$ . Determine the relation between $x$ and $y$ .

Competition practiceQuadratic Comparison

A $x < y$
B $x > y$
C $x$ ≥ $y$
D $x$ ≤ $y$

Step-by-Step Solution

x = 9

or 10 and

y = 3

or 8; the smallest

x

(9) exceeds the largest

y

(8), so

x > y

.

Answer: B)

x > y

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