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Compare $x$ and $y$ after solving I. $x^{2} - 4 x + 3 = 0$
II. $y^{2} - 11 y + 24 = 0$ .

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 1) (x - 3) = 0

, so

x = 1

or 3. II:

(y - 3) (y - 8) = 0

, so

y = 3

or 8. The largest

x

equals the smallest

y

(3), so

x

≤

y

.

Answer: C)

x

≤

y

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