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In the equations below, find the relation between $x$ and $y$ . I. $x^{2} - 12 x + 35 = 0$
II. $y^{2} - 8 y + 15 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 5

or 7 and

y = 3

or 5;

x

is never less than

y

and equals it when both are 5, so

x

≥

y

.

Answer: D)

x

≥

y

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