Let me use an example.
y^2 = -x (where y^2 means y squared)
Then y = sq rt (-x). There is an infinite number of solutions, some of which are imaginary numbers and some are real.
So when you say 'infinitely many solutions' this includes imaginary numbers. All real numbers is a subset of that.
A subset of real numbers can also be an infinite set - without including all real numbers. For example:* All integers
* All rational numbers (fractions)
* All multiples of pi (pi multiplied by an integer)
* All numbers of the type 1/n, for an integer n
* Etc.
The set of even integers is a set of infinitely many members but is is not the set of all real numbers.
Infinitely many. there are infinitely many numbers between any two numbers.
Infinitely many. Between any two different real numbers (not necessarily rational) there are infinitely many rational numbers, and infinitely many irrational numbers.
Infinitely many. In fact, between any two different real numbers, there are infinitely many rational numbers, and infinitely many irrational numbers. (More precisely, beth-zero rational numbers, and beth-one irrational numbers - that is, there are more irrational numbers than rational numbers in any such interval.)
There are infinitely many numbers between any two numbers. It is therefore impossible to list them.
There are infinitely many numbers between 40 and 60 so it is not possible to list them.
Infinitely many. there are infinitely many numbers between any two numbers.
There is no such thing as a "next" decimal number. Numbers are infinitely dense: that is, between any two numbers there are infinitely many numbers. Therefore, given any number claiming to be next after 65, there are infinitely many numbers between 65 and that number - The smallest of these has a better claim at being next. But there are infinitely many numbers between 65 and this number.There is no such thing as a "next" decimal number. Numbers are infinitely dense: that is, between any two numbers there are infinitely many numbers. Therefore, given any number claiming to be next after 65, there are infinitely many numbers between 65 and that number - The smallest of these has a better claim at being next. But there are infinitely many numbers between 65 and this number.There is no such thing as a "next" decimal number. Numbers are infinitely dense: that is, between any two numbers there are infinitely many numbers. Therefore, given any number claiming to be next after 65, there are infinitely many numbers between 65 and that number - The smallest of these has a better claim at being next. But there are infinitely many numbers between 65 and this number.There is no such thing as a "next" decimal number. Numbers are infinitely dense: that is, between any two numbers there are infinitely many numbers. Therefore, given any number claiming to be next after 65, there are infinitely many numbers between 65 and that number - The smallest of these has a better claim at being next. But there are infinitely many numbers between 65 and this number.
There are infinitely many numbers in any the interval between any two numbers. And, between any two of the numbers in that set there are infinitely many and so on - infinitely many time. So, the answer to the question is: infinitely many numbers.
Infinitely many. Between any two different real numbers (not necessarily rational) there are infinitely many rational numbers, and infinitely many irrational numbers.
Infinitely many. There are, in fact, infinitely many numbers between any two numbers.
There are infinitely many decimal numbers between any two numbers.0.4250000000000000000100010.425000000000000000010010.425000000000000000020.42500000000000000003and so on.There are infinitely many decimal numbers between any two numbers.0.4250000000000000000100010.425000000000000000010010.425000000000000000020.42500000000000000003and so on.There are infinitely many decimal numbers between any two numbers.0.4250000000000000000100010.425000000000000000010010.425000000000000000020.42500000000000000003and so on.There are infinitely many decimal numbers between any two numbers.0.4250000000000000000100010.425000000000000000010010.425000000000000000020.42500000000000000003and so on.
There are infinitely many decimal numbers between any two numbers.0.50000000000000000100010.5000000000000000010010.5000000000000000020.500000000000000003and so on.There are infinitely many decimal numbers between any two numbers.0.50000000000000000100010.5000000000000000010010.5000000000000000020.500000000000000003and so on.There are infinitely many decimal numbers between any two numbers.0.50000000000000000100010.5000000000000000010010.5000000000000000020.500000000000000003and so on.There are infinitely many decimal numbers between any two numbers.0.50000000000000000100010.5000000000000000010010.5000000000000000020.500000000000000003and so on.
There are infinitely many decimal numbers between any two numbers.0.2250000000000000000100010.225000000000000000010010.225000000000000000020.22500000000000000003and so on.There are infinitely many decimal numbers between any two numbers.0.2250000000000000000100010.225000000000000000010010.225000000000000000020.22500000000000000003and so on.There are infinitely many decimal numbers between any two numbers.0.2250000000000000000100010.225000000000000000010010.225000000000000000020.22500000000000000003and so on.There are infinitely many decimal numbers between any two numbers.0.2250000000000000000100010.225000000000000000010010.225000000000000000020.22500000000000000003and so on.
There are infinitely many decimal numbers between any two numbers.0.6750000000000000000100010.675000000000000000010010.675000000000000000020.67500000000000000003and so on.There are infinitely many decimal numbers between any two numbers.0.6750000000000000000100010.675000000000000000010010.675000000000000000020.67500000000000000003and so on.There are infinitely many decimal numbers between any two numbers.0.6750000000000000000100010.675000000000000000010010.675000000000000000020.67500000000000000003and so on.There are infinitely many decimal numbers between any two numbers.0.6750000000000000000100010.675000000000000000010010.675000000000000000020.67500000000000000003and so on.
The set of even numbers contains the prime number, 2. The set of composite numbers contains infinitely many odd numbers.
There are infinitely many solutions. One such is 1 multiplied by 24.
There are infinitely many numbers between 9 and 17. For example, 10 or 13.568There are infinitely many numbers between 9 and 17. For example, 10 or 13.568There are infinitely many numbers between 9 and 17. For example, 10 or 13.568There are infinitely many numbers between 9 and 17. For example, 10 or 13.568