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  2. Examples of open sentences12:
    • "n is an even number" (could be true or false, depending on the value of n)
    • "She completed her work" (contains a variable)
    • "You left the blinds wide open"
    • "The door suddenly swung open"
    • "I was so tired that I couldn't keep my eyes open"
    Learn more:
    A sentence is open when it is not known if it is true or false. Examples: 8 is an even number is closed (it is always true) 9 is an even number is closed (it is always false) n is an even number is open (could be true or false, depending on the value of n)
    www.mathsisfun.com/algebra/open-sentences.html
    In English, an open sentence is a sentence that contains whereas a closed sentence is an objective statement that is always true or false. Example: Open Sentence - She completed her work - Here ' she' is a variable here. Closed Sentence - The sun rises in the east (always true). Closed Sentence - The sun sets in the east (always false).
    www.vedantu.com/maths/open-sentence
     
  3. People also ask
    What is an example of an open sentence?An example of an open sentence: x + 3 = 6 First ... what is a "Sentence" ? Just like an English sentence, in mathematics a sentence says something: The sun is shining. Hawaii is in the Pacific Ocean. Now ... what is a "Closed Sentence" or an "Open Sentence" ? A closed sentence is always true (or always false ).
    How do you write an open sentence?R. As for the open sentences, we will use the notation , P ( x), Q ( x), R ( x), since their truth values depend 17 on the value of . x. This is reminiscent of a function; we put in some value for x and the sentence returns to us a statement. For example, if , P ( x): x 2 − 5 x + 4 = 0, we see that P ( 1) is true, while P ( 2) is false.
    When is a sentence open?A sentence is open when it is not known if it is true or false. In that last example: etc ... But we didn't say what value n has! So " n is an even number " may be true or false. So it is open. So, we get this definition: An open sentence can be either true or false depending on what values are used.
    What is an open sentence in mathematics?A sentence can be either open or closed depending on the information provided. Here, we will discuss the meaning of the open sentence in Mathematics. An open sentence in Mathematics is neither true nor false until the variables have been substituted by specific values.
    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.
    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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  7. Open & Closed Math Sentences | Overview & Examples

    WEBNov 21, 2023 · What is an example of an open sentence? An open sentence includes one or more variables. An example of an open sentence would be 7n = 42. Another example is "five plus y equals 18." How...

  8. Open Sentence | Definition & Meaning - The Story of …

    WEBIf you need to write open mathematical sentences, you need to make sure that a variable is used anywhere in the sentence. Any one of the following could be considered an example of an open sentence: The answer to …

  9. Open Sentences - Algebra-Class.com

    WEBAn open sentence is a sentence that contains one or more variables that may be true or false depending on what values you substitute for the variables. Open Sentences Examples As you discovered in the …

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