Home > Math Topics > Logic >

Truth Value of Open Sentences

HSG-MG.A.3
Answer Keys Here

Aligned To Common Core Standard:

High School Geometry - HSG-MG.A.3

How to Judge the Truth Value of Open Sentences? Some sentences make it hard to find whether they are true or false. More so that a sentence can be true for one person may be false for the other one. For instance, "The Joker was the greatest movie of all time." This sentence may be true for the majority of the people, but it's not necessarily the opinion of others as well. Now, there are other sentences as well, where it is almost impossible to find the true value of a sentence. These sentences do not have enough information to figure out their true value. For instance, x+5=25, where the variable is x. If you look at the definition of a variable, it's a place where the unknown values will be placed. Now, to determine the truth value, we set a domain from which the value can be selected. Let's solve the example now. Open Sentence: x+5=25 | Variable: x | Domain: {15, 20, 24. 28} Solution Set: {20}. These worksheets will have students learn how to determine the truth value for an open sentence.

Printable Worksheets And Lessons




Homework Sheets

Take some time to classify all of the statements we show you.

  • Homework 1 - Open sentences usually have a variable. Since open sentences cannot be proven to .
  • Homework 2 - After rearranging the equation we can see that the total number of sides of the polygon is 3; the sum of interior angles of a triangle is equal to 180°.
  • Homework 3 - Using the natural numbers as a domain, determine the solution set for the following open sentences.



Practice Worksheets

Find the total value we have floating around here.

  • Practice 1 - If a sentence is not packed with information and is rather vague we term these sentences "Open".
  • Practice 2 - Sometimes we cannot define the truth value of a sentence.



Math Skill Quizzes

Find the solution sets in each case.

  • Quiz 1 - Open sentences have a variable and are too vague to prove. This sentence has a variable 'x' and is vague to prove.
  • Quiz 2 - In most circumstances we can determine if a sentence is true or false. We just need enough information to allow us to draw that conclusion.