Q:

# What is an open sentence?

A:

In mathematics, an open sentence is an algebraic expression without a definite truth value, which means that the statement's veracity or falsity is uncertain. Open sentences contain variables, which are denoted by letters to represent unknown values.

## Keep Learning

Mathematical sentences can either be closed or open. A closed sentence is an expression whose truth value is known, either the sentence is always true or always false. An example of a closed sentence is, "The number 2 is the smallest prime number." This statement is always true under any condition.

An open sentence, meanwhile, can either be true or false depending on what value is supplied for the variable. For instance, the expression "X is a whole number" is only true if the value of the variable "X" is any positive integer or 0. Otherwise, the sentence is false.

Sources:

## Related Questions

• A: In mathematics, a variable is a symbol used for a number not yet known, while a constant is a number or symbol that has a fixed value. The value of a varia... Full Answer >
Filed Under:
• A: In mathematics, inequalities are a set of five symbols used to demonstrate instances where one value is not the same as another value. The five symbols are... Full Answer >
Filed Under:
• A: "If" statements are used in MATLAB to execute certain statements depending on the truth value of an expression. They are used in conjunction with "else" an... Full Answer >
Filed Under:
• A: "3 times the sum of a number and 5" written as an algebraic expression would be 3(x+5). The process of writing this as an algebraic equation has two parts:... Full Answer >
Filed Under:
PEOPLE SEARCH FOR