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Solve for $x$ and $y$ and choose the correct relation. I. $3 x^{2} - 10 x + 8 = 0$
II. $3 y^{2} - 7 y + 4 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(3 x - 4) (x - 2) = 0

→

x = 4/3

, 2. II:

(3 y - 4) (y - 1) = 0

→

y = 4/3

, 1. The smallest

x

equals the largest

y

(4/3), so

x

≥

y

.

Answer: B)

x

≥

y

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