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Solve both equations and choose the correct relation.
I. $x^{2} - 15 x + 56 = 0$
II. $y^{2} - 17 y + 72 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I gives

x = 7

, 8. II gives

y = 8

, 9. Maximum

x

is 8 and minimum

y

is 8, and every other pairing gives

x < y

, so

x

≤

y

.

Answer: C)

x

≤

y

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