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I. $x^{2} - 8 x + 15 = 0$
II. $y^{2} - 13 y + 42 = 0$ . Find 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 = 3

or 5;

y = 6

or 7. Every value of

x

is less than every value of

y

, so

x < y

.

Answer: D)

x < y

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