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In the equations below, solve for $x$ and $y$ and choose the correct relation. I. $x^{2} - 10 x + 24 = 0$
II. $y^{2} - 6 y + 8 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

The roots are

x = 4

or 6 and

y = 2

or 4. Every value of

x

is greater than or equal to every value of

y

, so

x

≥

y

.

Answer: A)

x

≥

y

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