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Equations: I. $x^{2} - 19 x + 90 = 0$ ,
II. $y^{2} - 21 y + 110 = 0$ . What can be said about $x$ and $y$ ?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 9

or 10 and

y = 10

or 11. Every

x

is at most every

y

, with equality at 10, so

x

≤

y

.

Answer: C)

x

≤

y

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