MathDB

Series of real numbers

Source: UMD 2023 I #25

October 21, 2023

algebraUMD

Problem Statement

Suppose that

S

is a series of real numbers between

2

and

8

inclusive, and that for any two elements

\mathrm a. ~ 12\qquad \mathrm b.~14\qquad \mathrm c. ~16 \qquad \mathrm d. ~18 \qquad \mathrm e. 20

in

S,

98y - 102x - xy \ge 4.

What is the maximum possible size for the set

S?

\mathrm a. ~ 12\qquad \mathrm b.~14\qquad \mathrm c. ~16 \qquad \mathrm d. ~18 \qquad \mathrm e. 20

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