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If I. $x^{2} - 19 x + 88 = 0$
II. $y^{2} - 13 y + 40 = 0$ , which relation between $x$ and $y$ holds?

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 - 5) (y - 8) = 0

, so

y = 5

or 8. The smallest

x

(8) equals the largest

y

(8), so

x

≥

y

.

Answer: C)

x

≥

y

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