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Given I. $x^{2} - 18 x + 77 = 0$
II. $y^{2} - 11 y + 28 = 0$ , which relation between $x$ and $y$ is true?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 7

or 11 and

y = 4

or 7. Every

x

is at least every

y

, with equality at 7, so

x

≥

y

.

Answer: C)

x

≥

y

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