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What is the relation between $x$ and $y$ ? I. $x^{2} - 19 x + 90 = 0$
II. $y^{2} - 16 y + 63 = 0$ .

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 9) (x - 10) = 0

→

x = 9

, 10. II:

(y - 7) (y - 9) = 0

→

y = 7

, 9. The smallest

x

equals the largest

y

(9), so

x

≥

y

.

Answer: A)

x

≥

y

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