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Infinitely many. In fact, there are more Irrational Numbers between 1 and 2 as there are rational numbers - in total.
The cardinality of this set is Aleph-0ne.
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How many irrational numbers are there between the numbers 1 and 25?
Infinitely many. More than all the rational numbers in total.
What numbers are between 1 and 1.5?
There are infinitely many numbers between 1 and 1.5: in fact, there are infinitely many rational numbers. The cardinality of irrational numbers between 1 and 1.5 is even greater.Some examples:1.000000000000000000000000021.000000000000000000000000020011.000000000000000000000000020021.000000000000000000000000020031.0000000000000000000000000200307Hopefully, you get the idea.
Are all number between 1 and 2 rational numbers?
No, there are more irrational numbers between 1 and 2 than there are rational numbers.
Are all numbers between 1 and 2 rational numbers?
No, not at all. There are more irrational numbers between 1 and 2 than there are rational numbers in total!
It is always possible to translate among an equation a table of values and a graph of a relation?
No.Try to created a table or a graph for the equation:y = 0 when x is rational,andy = 1 when x is irrational for 0 < x < 1.Remember, between any two rational numbers (no matter how close), there are infinitely many irrational numbers, and between any two irrational numbers (no matter how close), there are infinitely many rational numbers.
