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Work out both quadratics and choose the relation: I. $x^{2} - 10 x + 21 = 0$
II. $y^{2} - 15 y + 56 = 0$ .

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I gives

x = 3

or 7. II gives

y = 7

or 8.

x

never exceeds

y

, and

x = y = 7

is possible, so

x

≤

y

.

Answer: D)

x

≤

y

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