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Which relation holds between $x$ and $y$ ? I. $x^{2} + 7 x + 12 = 0$
II. $y^{2} + y - 2 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

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

→

x = - 3

, −4. II:

(y + 2) (y - 1) = 0

→

y = - 2

, 1. The largest

x

(−3) is below the smallest

y

(−2), so

x < y

.

Answer: D)

x < y

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