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If I. $x^{2} - 7 x + 10 = 0$
II. $y^{2} - 19 y + 84 = 0$ , what is the relation between $x$ and $y$ ?

Competition practiceQuadratic Comparison

A $x$ ≤ $y$
B $x < y$
CRelation cannot be established
D $x > y$

Step-by-Step Solution

I:

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

, so

x = 2

or 5. II:

(y - 7) (y - 12) = 0

, so

y = 7

or 12. The largest

x

(5) is less than the smallest

y

(7), so

x < y

.

Answer: B)

x < y

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