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Solve both equations and determine the relationship. I. $2 x^{2} - 11 x + 15 = 0$
II. $2 y^{2} - 13 y + 21 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 2.5

or 3;

y = 3

or 3.5. Max

x = 3 =

min

y

, so every

x

≤ every

y

, giving

x

≤

y

.

Answer: C)

x

≤

y

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