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  3. The method of finding the values of variables that result in a true sentence is known as solving the open sentence. The replacement value is known as the solution of the open sentence. For example, 1 - y = 8 is an open sentence because the value of ‘y’ is unknown and as a result, we can state if it is true or false.
    www.vedantu.com/maths/open-sentence
    By solvingan open sentence we mean finding all the admissible replacement values for thevariable that make the sentencetrue.Thedomainorreplacement setforavariableis the set of numbers that the problem allows as replacements for the variable.
    www.usu.edu/math/rheal/online1050/Precalculus/S…

    To solve an open sentence with variables, you must first identify the variables and then solve for them. To solve an open sentence, use inverse operations to undo each step in the order it was done. To solve the open sentence using inverse operation example, we need to use inverse operations to undo the addition and subtraction.

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    How do you solve an open sentence in mathematics?An open sentence in Mathematics is neither true nor false until the variables have been substituted by specific values. The method of finding the values of variables that result in a true sentence is known as solving the open sentence. The replacement value is known as the solution of the open sentence.
    What is an open sentence in math?A mathematical statement with one or more variables is called an open sentence. An open sentence is neither true nor false until the variables have been replaced by specific values. The process of finding a value for a variable that results in a true sentence is called . This replacement value is called a of the open sentence
    How do you find the solution to open sentences?You need to have great mental math skills to find the solution to open sentences. A sentence that is an inequality, may have many values for the variable that make the sentence true. Take a look: As you can see, there are many solutions when working with inequalities.
    How do you know if a sentence is open?Since a variable is an unknown number, it is not known if the open sentence is true or false. That is why it is called open; the possibility is open whether the statement really works or not. When looking at a math sentence, first check to see if there are any variables. If there is, then it is an open sentence in math.
    What is an open sentence?We then discuss open sentences, where one of the values in the sentence is not given and the student must determine it. This is one way of introducing basic ideas about variables and algebra. Students as young as first graders learn about true and false sentences and have already been solving open sentences without knowing the terminology.
    Is an open sentence true or false?An open sentence can be either true or false depending on what values are used. The value we don't know is called a variable (also called an unknown) In this example of an open sentence, x is a variable: x + 3 = 8 In this example, w and q are both variables: Solving means finding a value for the variable that makes the sentence true.
     
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