An open sentence is neither true nor false. It depends on the value of the variable. If you had 5=3 that would be a closed sentence which is false. If you had 5=5 that would be a closed sentence which is true. If you had x=3 then it is open to whether the x is a 5 or a 3.
Answer 1 == In an open sentence (an equation or inequality with a variable in it), when a number replacing the variable makes the sentence true, then it is a solution.
An open sentence.
A replacement for the variable in an open sentence is called a "substitution." In mathematical terms, it refers to the process of replacing the variable with a specific value or expression to evaluate the truth of the statement. For example, in the open sentence "x + 2 = 5," substituting x with 3 would allow you to check if the equation is true or false.
No. If you are studying waiting time, for example at a bank, the waiting time could be the dependent variable with the number of open windows as the independent variable.
A number sentence has a left side (Nominative) the equals (verb) and the right side (predicate). It can be an open sentence with a variable, a false statement or a true statement.
Because it is neither true or false until the variable is replaced with a specific value making the sentence true or false.
An equation or an inequality that contains at least one variable is called an open sentence. ... When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.
An open number sentence is a sentence which contains a variable. A variable is a unknown number but replaced with a letter and can be on either side of an equals sign.
An open number sentence is a sentence which contains a variable. A variable is a unknown number replaced with any letter and can appear on either side of the equals sign.
Answer 1 == In an open sentence (an equation or inequality with a variable in it), when a number replacing the variable makes the sentence true, then it is a solution.
Yes, an open sentence must contain a variable, as it is an expression that can be true or false depending on the value of that variable. For example, in the open sentence "x + 2 = 5," the variable "x" represents an unknown value that can change the truth of the statement. Without a variable, the sentence would be a closed statement with a definitive truth value.
An open sentence.
domain
A replacement for the variable in an open sentence is called a "substitution." In mathematical terms, it refers to the process of replacing the variable with a specific value or expression to evaluate the truth of the statement. For example, in the open sentence "x + 2 = 5," substituting x with 3 would allow you to check if the equation is true or false.
Solution.
Yes, the expression (3w - 7) is considered an open sentence because it contains a variable ((w)) and does not have a specific value assigned to it. Open sentences can take on different values depending on the value of the variable. In contrast, a closed sentence would have a specific value or statement, such as (3w - 7 = 0).
In math, that refers to an equation which includes a variable. Such an equation may be true, or false, depending on the value assigned to the variable.