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In the equations below, solve for $x$ and $y$ and choose the correct relation. I. $x^{2} - 4 x + 3 = 0$
II. $y^{2} - 8 y + 15 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

The roots are

x = 1

or 3 and

y = 3

or 5. Every value of

x

is less than or equal to every value of

y

, so

x

≤

y

.

Answer: A)

x

≤

y

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