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Find $x$ and $y$ from the equations below, then choose the correct relation. I. $x^{2} - 19 x + 88 = 0$
II. $y^{2} = 64$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 8) (x - 11)

→

x = 8

, 11. II:

y^{2} = 64

→

y = 8

, −8. Across every pairing

x

is at least as large as

y

, with

x = 8

equal to

y = 8

, so

x

≥

y

.

Answer: A)

x

≥

y

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