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Solve the pair and pick the correct relation: I. $x^{2} - 25 = 0$
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 = 5

or −5. II gives

y = 5

or 6. Every

x

is at most every

y

, and

x = y = 5

is possible, so

x

≤

y

.

Answer: B)

x

≤

y

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