Naomi R.

asked • 07/06/17

Rational and irrational numbers

Given the set of real numbers x, such that x<2,
 
a. Provide an example of a rational number in this set
 
b. Provide an example of an irrational number in this set

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Arturo O. answered • 07/06/17

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(a)
 
2/3 < 2
 
(b)
 
√2 < 2
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Naomi R.

Thank you, I wasn't sure if both irrational had to be square roots or just one.
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07/06/17

Arturo O.

Just remember the definition of a rational number:  It is equal to the ratio of two integers.
 
Examples: 3/7, -5/16, etc.
 
An irrational number is not equal to a ratio of two integers.
 
Examples: √5, -√17, π
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07/06/17

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