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Solve the pair of equations and pick the relation that is always true. I. $x^{2} - 22 x + 117 = 0$
II. $y^{2} - 14 y + 48 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 9) (x - 13) = 0

, so

x = 9

or 13. II:

(y - 6) (y - 8) = 0

, so

y = 6

or 8. Every

x

is larger than every

y

, so

x > y

.

Answer: D)

x > y

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