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I. $x^{2} - 2 x - 15 = 0$
II. $y^{2} - 13 y + 42 = 0$ . Which statement about $x$ and $y$ is true?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 5) (x + 3) = 0

→

x = 5

, −3. II:

y = 6

, 7. Each

x

is less than each

y

, so

x < y

.

Answer: D)

x < y

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