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In the two equations below, find the relation between $x$ and $y$ . I. $x^{2} - 8 x + 15 = 0$
II. $y^{2} - 14 y + 45 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 3

or 5 and

y = 5

or 9; every value of

x

is less than or equal to every value of

y

, so

x

≤

y

.

Answer: B)

x

≤

y

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