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Given I. $2 x^{2} - 11 x + 15 = 0$
II. $y^{2} - 9 y + 20 = 0$ , 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:

(2 x - 5) (x - 3) = 0

, so

x = 2.5

or 3. II:

(y - 4) (y - 5) = 0

, so

y = 4

or 5. Every

x

is smaller than every

y

, so

x < y

.

Answer: B)

x < y

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