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Find the relation between $x$ and $y$ from I. $3 x^{2} - 19 x + 30 = 0$
II. $2 y^{2} - 9 y + 9 = 0$ .

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(3 x - 10) (x - 3) = 0

→

x = 10/3

, 3. II:

(2 y - 3) (y - 3) = 0

→

y = 1.5

, 3. Every

x

is at least every

y

(3 = 3 possible), so

x

≥

y

.

Answer: C)

x

≥

y

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