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In the equations below, find the relation between $x$ and $y$ . I. $x^{2} - 3 x + 2 = 0$
II. $y^{2} - 9 y + 20 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 1

or 2 and

y = 4

or 5; every value of

x

is strictly less than every value of

y

, so

x < y

.

Answer: C)

x < y

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