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Which relation holds between $x$ and $y$ ? I. $x^{2} - 14 x + 45 = 0$
II. $y^{2} - 7 y + 10 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 5

or 9 and

y = 2

or 5. Every

x

is at least every

y

, with equality at 5, so

x

≥

y

.

Answer: D)

x

≥

y

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