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Solve both equations and compare $x$ and $y$ .
I. $x^{2} - 7 x + 10 = 0$
II. $y^{2} - 12 y + 35 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 2) (x - 5) = 0

, so

x = 2

or 5. II:

(y - 5) (y - 7) = 0

, so

y = 5

or 7. The largest

x

(5) equals the smallest

y

(5), so

x

≤

y

.

Answer: D)

x

≤

y

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