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For I. $x^{2} - 47 x + 552 = 0$
II. $y^{2} - 45 y + 506 = 0$ , which statement about $x$ and $y$ is correct?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I.

(x - 23) (x - 24) = 0

, so

x = 23

or 24. II.

(y - 22) (y - 23) = 0

, so

y = 22

or 23. The smallest

x

(23) equals the largest

y

(23), so

x

≥

y

.

Answer: D)

x

≥

y

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