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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.

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Q: What is a solution to an open sentence?
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Related questions

What is a value that satisfies an open sentence called?

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


A value that satisfies an open sentence?

a solution


What is the word for the definition the set of all replacements for the variable in an open sentence that results in a true sentence?

Solution.


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

7


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.


A number when substituted in an open sentence makes a true statement what is it called?

Solution or a root


a number when substituded in to an open sentence makes a true statement?

An equation or an inequality that contains at least one variable is called an open sentence. ... When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.


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 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.


What does solutions mean in math?

An open statement is a sentence that contains a variable , such as x. The solution set for an open sentence is the set of values that when substituted for the variable make a true statement. The members of the solution set are called solutions. Examples: x = 2. Solution set is {2} solution is 2. x2 - 5 = 4 Solution set is {-3, 3 } solutions are -3 and 3. x > 0 Solution set = {x " x > 0 } That is all positive numbers. Every positive number is a solution. There are some finer points that I did not mention such as the possibility of more than one variable and limitations on the values that allowed in the substitutions.


What is another type of open sentence?

Another type of an open sentence


A solution set is all the numbers that make a mathematical sentence is called a what?

A solution set makes a mathematical sentence TRUE.