They fall under "Real Numbers"
The distance from zero.
No. Absolute value applies to the set of real numbers.
The absolute value of a number is positive, so the range is always a positive real number. You are correct. The domain, that is the value before you take the absolute value, is all real numbers, but the range is always positive.
There are two real numbers and infinitely many complex numbers.
Odd even
They fall under "Real Numbers"
The distance from zero.
No. Absolute value applies to the set of real numbers.
What is the smallest subset of real numbers that −√𝟑𝟐𝟒 fits best?
The absolute value of a number is positive, so the range is always a positive real number. You are correct. The domain, that is the value before you take the absolute value, is all real numbers, but the range is always positive.
There are two real numbers and infinitely many complex numbers.
Two (assuming you are talking about real numbers). In general, for any given positive number, there will be two real numbers whose absolute value is that given number. In the case of complex numbers, the answer is "infinitely many" - all the numbers on a circle centered on the origin, with that radius, have that absolute value.
Non-negative real numbers.
The answer depends on what are meant to be real numbers! If all the coefficients are real and the matrix of coefficients is non-singular, then the value of each variable is real.
In Real numbers, each is the additive inverse of the other.
Only two real numbers but infinitely many complex numbers.