Which of the following is an example of a monomial?

A monomial is defined as a mathematical expression that consists of a single term. This term can be a constant, a variable, or a product of constants and variables raised to non-negative integer powers.

The option that represents a monomial is characterized by having only one term with no addition or subtraction involved, which is precisely the case with the expression 2/3x. Here, you have a single term where 2/3 is the coefficient of the variable x. This fits the definition of a monomial perfectly because there is no additional term that changes the singular nature of this expression.

In contrast, the other options include multiple terms or operations that disqualify them from being classified as monomials. The expression 3x + 2 contains two terms joined by an addition, making it a binomial. Similarly, the expression x/y represents a division of variables, which can complicate its classification, but it typically involves multiple parts as well. Lastly, 2x + 5y is also comprised of two terms connected by addition, thus categorizing it as another binomial.

Understanding these distinctions is key to recognizing monomials correctly, and in this case, 2/3x stands out as the only