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A value that satisfies an open sentence is called a solution or a root of the open sentence.

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1y ago

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A value that satisfies an open sentence?

a solution


What is a number called that when substituted into an open sentence it makes the sentence true?

A open sentence is an equation with one or more variables is an open sentence.


Why is an equation with one or more variables called an open sentence?

An equation with one or more variables is called an open sentence because it does not have a specific, fixed truth value; it can be true or false depending on the values assigned to its variables. Unlike a closed sentence, which has a definitive truth value (true or false), an open sentence requires specific values to be substituted in to evaluate its truth. This characteristic allows for various solutions, making it essential in algebra and other mathematical fields.


A replacement value for the variable in an open sentence?

domain


What is the set of numbers that make an open sentence true?

an open sentence is defined as one that contains "free variables," which are variable that have not been assigned a specific meaning. Because of this open sentences cannot be labeled as true or false, their status is "open. Any number that makes the open sentence true satisfies it. In general we would call these the solutions or solution set. I must state that there are many definitions in many books that all give slightly different answers to what an open sentence is.


What is a replacement for the variable in an open sentence?

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.


What is an equation which contains a variable called?

An open sentence.


What value is the solution to the open sentence 6x-3 equals 39?

7


What do you call an equation with one or more variables?

It is called an open sentence.


Why an open sentence always has at least one variable?

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.


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


Why does open sentence always has at least one variable?

Because it is neither true or false until the variable is replaced with a specific value making the sentence true or false.