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Quantities $x$ and $y$ satisfy: I. $x^{2} - 6 x + 8 = 0$
II. $y^{2} - 13 y + 40 = 0$ . 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 = 2

or 4 and

y = 5

or 8; the largest

x

(4) is below the smallest

y

(5), so

x < y

.

Answer: B)

x < y

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