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Work out $x$ and $y$ from I. $x^{2} + x - 12 = 0$
II. $y^{2} - 17 y + 70 = 0$ , then choose the relation.

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x + 4) (x - 3) = 0

, so

x = 3

or −4. II:

(y - 7) (y - 10) = 0

, so

y = 7

or 10. The largest

x

(3) is less than the smallest

y

(7), so

x < y

.

Answer: C)

x < y

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