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Solve both equations and choose the correct relation. I. $x^{2} - 11 x + 30 = 0$
II. $y^{2} - 7 y + 12 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 5) (x - 6) = 0

gives

x = 5

or 6. II:

(y - 3) (y - 4) = 0

gives

y = 3

or 4. Smallest

x

(5) > largest

y

(4), so

x > y

in every case.

Answer: A)

x > y

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