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.
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.
an open sentence can be either true or false, depending on what values are substituted for the variables. A SOLUTION of an open sentence with on variable is a value that makes the sentence true. The solution of the equation x+3=5 is 2. One solution of the inequality x-1>4 is 6, and there are many more solutions. hope this helps
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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.
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.
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).
Because it is neither true or false until the variable is replaced with a specific value making the sentence true or false.
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.
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.
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.
A value that satisfies an open sentence is called a solution or a root of the open sentence.
An open sentence.