Determine Whether Each of the Following Sets Is Countable or Uncountable

question 146

Short Answer

determine whether each of the following sets is countable or uncountable. For those that are countably infinite exhibit a one-to-one correspondence between the set of positive integers and that set.
- $$\text { The set of irrational numbers between } \sqrt { 2 } \text { and } \pi / 2 \text {. }$$

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Definitions:

Cultural Changes

Transformations in the beliefs, practices, customs, and values of a society or community over time.

Biological Changes

Alterations in the genetics or physiology of living organisms, which can be caused by environmental factors, adaptation, or evolutionary processes.

Australopithecine Fossil

Prehistoric remains of Australopithecus, an early genus of hominins known for bipedal locomotion and a significant role in human evolutionary history.

Lucy

The common name given to the Australopithecus afarensis skeletal remains discovered in Ethiopia in 1974, which are among the oldest and most complete hominin fossils found to date.