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In the equations below, find the relation between $x$ and $y$ . I. $x^{2} - 13 x + 42 = 0$
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

x = 6

or 7 and

y = 8

or 9; the largest

x

(7) is less than the smallest

y

(8), so

x < y

.

Answer: D)

x < y

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