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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 else can I help you with?
What is an open sentence in algebra?
a open sen .7 + 4 = 10 false 5 - 2 = 3 false5+10=15 true 10 +10=20 true
Is true a predicate?
Well, it depends on the sentence. In "that's true." it would be but it depends on the sentence. True, primarily is an adjective.
What is the set of all numbers that make the inequality true?
The set of all numbers that make an inequality true is known as the solution set. It consists of all the values of the variable that satisfy the given inequality. This set can be expressed using interval notation or set builder notation, depending on the context of the problem. The solution set is crucial in determining the range of values that satisfy the given conditions.
Is it true that no irrational numbers are whole numbers?
Yes, no irrational numbers are whole numbers.
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.
A solution set is all the numbers that make a mathematical sentence is called a what?
A solution set makes a mathematical sentence TRUE.
What is an open sentence that is true for any numbers?
It's for a crossword puzzle. It has 8 letters and the 6th letter is an R.
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 number when substituted in an open sentence make a true statement?
Not if the statement is inexplicable in numerical terms, and not always when it is.
What is a replacement value for the variable in an open sentence?
A replacement value for a variable in an open sentence is a specific number or expression that can be substituted for that variable to make the sentence true. For example, in the open sentence ( x + 3 = 7 ), the replacement value for ( x ) would be 4, as substituting 4 yields a true statement. Open sentences often represent equations or inequalities that depend on the value of the variable.
An open sentence that is true for any number?
An identity.
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.
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 true false and open sentence?
it means you do not like politicians or obama
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 for x could make the sentence true?
It depends on the sentence.
What is the set of numbers that can be substituted for the variable and keep the sentence true?
solution set
