If a set of numbers includes both rational and irrational numbers and is graphed on a number line, what is the fewest number of distinct points that need to be graphed?

Question

AL2006 · Answer

The fewest is two ... one rational and one irrational. They can't be the same number.

AL2006 · Answer

The fewest number of distinct points that need to be graphed on a number line for a set that includes both rational and irrational numbers is two: one for a rational number and one for an irrational number. They must not be the same point. For example, one could graph 1 (rational) and 2 ​ (irrational). 
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If a set of numbers includes both rational and irrational numbers and is graphed on a number line, what is the fewest number of distinct points that need to be graphed?

Answer (2)

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