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Given I. $x^{2} - 17 x + 70 = 0$
II. $y^{2} - 11 y + 28 = 0$ , find the relation between $x$ and $y$ .

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 7) (x - 10) = 0

→

x = 7

, 10. II:

(y - 4) (y - 7) = 0

→

y = 4

, 7. The smallest

x

equals the largest

y

(7), so

x

≥

y

.

Answer: D)

x

≥

y

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