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Solve both equations and state how $x$ and $y$ are related. I. $x^{2} - 9 x + 18 = 0$
II. $y^{2} - 13 y + 42 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 3

or 6;

y = 6

or 7. Every

x

is less than or equal to every

y

(6 = 6 is possible), so

x

≤

y

.

Answer: D)

x

≤

y

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