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Given I. $x^{2} + 5 x + 6 = 0$
II. $y^{2} + 7 y + 12 = 0$ , how are $x$ and $y$ related?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = - 2

or −3 and

y = - 3

or −4; every value of

x

is ≥ every value of

y

, so

x

≥

y

.

Answer: C)

x

≥

y

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