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In the two equations, I. $x^{2} - 5 x + 6 = 0$
II. $y^{2} - 3 y + 2 = 0$ , find the relation between $x$ and $y$ .

Competition practiceQuadratic Comparison

ARelation cannot be established
B $x$ ≤ $y$
C $x$ ≥ $y$
D $x > y$

Step-by-Step Solution

x = 2

or 3;

y = 1

or 2. Every value of

x

is greater than or equal to every value of

y

, so

x

≥

y

.

Answer: C)

x

≥

y

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