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Quantities $x$ and $y$ satisfy: I. $x^{2} - 13 x + 42 = 0$
II. $y^{2} - 7 y + 10 = 0$ . 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 = 6

or 7 and

y = 2

or 5; the smallest

x

(6) exceeds the largest

y

(5), so

x > y

.

Answer: B)

x > y

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