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State the relation between $x$ and $y$ if I. $x^{2} - 19 x + 88 = 0$
II. $y^{2} - 14 y + 48 = 0$ .

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 8) (x - 11) = 0

, so

x = 8

or 11. II:

(y - 6) (y - 8) = 0

, so

y = 6

or 8. The smallest

x

(8) equals the largest

y

(8), so

x

≥

y

.

Answer: D)

x

≥

y

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