What is the difference between a conjecture and a counterexample?

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter2: Equations, Inequalities, And Problem Solving
Section2.3: Equations Involving Decimals And Problem Solving
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What is the difference between a conjecture and a counterexample?
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