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Solve both equations and state the relation. I. $x^{2} - 5 x + 6 = 0$
II. $y^{2} - 11 y + 30 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I gives

x = 2

or 3; II gives

y = 5

or 6. Largest

x

(3) is still less than smallest

y

(5), so

x < y

always.

Answer: D)

x < y

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