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Solve I. $x^{2} - 11 x + 28 = 0$
II. $y^{2} - 6 y + 8 = 0$ . What is the relation between $x$ and $y$ ?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 4) (x - 7) = 0

, so

x = 4

or 7. II:

(y - 2) (y - 4) = 0

, so

y = 2

or 4. The smallest

x

(4) equals the largest

y

(4), so

x

≥

y

.

Answer: D)

x

≥

y

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