NonNegative[x] gives True if x is a non-negative number.
NonPositive[x] gives True if x is a non-positive number.
Positive[x] gives True if x is a positive number.
Primes
(Built-in Mathematica Symbol) Primes represents the domain of prime numbers, as in x \[Element] Primes.
Trig
(Built-in Mathematica Symbol) Trig is an option for various polynomial manipulation functions that specifies whether trigonometric functions should be treated like polynomial elements.
Reals
(Built-in Mathematica Symbol) Reals represents the domain of real numbers, as in x \[Element] Reals.
Mathematica provides many functions to group terms in a polynomial, extract and sort the monomials, display them in various ways, and even process them as arbitrary ...
Rationals represents the domain of rational numbers, as in x \[Element] Rationals.
While DSolve usually returns the correct solution to a differential equation it is given, it is common practice to verify the solution returned by any differential equation ...
Algebraics represents the domain of algebraic numbers, as in x \[Element] Algebraics.