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In the equations below, find the relation between $x$ and $y$ . I. $x^{2} - 16 x + 63 = 0$
II. $y^{2} - 5 y + 6 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 7

or 9 and

y = 2

or 3; every value of

x

is strictly greater than every value of

y

, so

x > y

.

Answer: B)

x > y

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