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I: $x^{2} - 23 x + 132 = 0$ . II: $y^{2} - 21 y + 110 = 0$ . Find how $x$ and $y$ are related.

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 11) (x - 12) = 0

, so

x = 11

or 12. II:

(y - 10) (y - 11) = 0

, so

y = 10

or 11. The smallest

x

(11) equals the largest

y

(11), so

x

≥

y

.

Answer: C)

x

≥

y

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