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Why an open sentence always has at least one variable?

Anonymous

∙ 13y ago

Updated: 10/26/2022

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.

Wiki User

∙ 13y ago

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Q: Why an open sentence always has at least one variable?

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Continue Learning about Math & Arithmetic

What is the number that can replace a variable?

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.

What is an equation which contains a variable called?

An open sentence.

Is time always an independent variable?

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.

What does number sentence mean?

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.

What is a solution to 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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