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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.
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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.
A replacement for a variable that results in a true sentence?
A replacement for a variable that results in a true sentence is often referred to as a "satisfying assignment." For example, in the logical statement "x > 5," replacing the variable x with 6 makes the sentence true, as 6 is indeed greater than 5. This principle is foundational in logic and mathematics, where finding such replacements can validate propositions or equations.
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 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.
A replacement value for the variable in an open sentence?
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What is a open number sentence?
An open number sentence is a sentence which contains a variable. A variable is a unknown number but replaced with a letter and can be on either side of an equals sign.
What is an open number sentence?
An open number sentence is a sentence which contains a variable. A variable is a unknown number replaced with any letter and can appear on either side of the equals sign.
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.
Can an open sentence must contian a viariable?
Yes, an open sentence must contain a variable, as it is an expression that can be true or false depending on the value of that variable. For example, in the open sentence "x + 2 = 5," the variable "x" represents an unknown value that can change the truth of the statement. Without a variable, the sentence would be a closed statement with a definitive truth value.
What is an equation which contains a variable called?
An open sentence.
A replacement for a variable that results in a true sentence?
A replacement for a variable that results in a true sentence is often referred to as a "satisfying assignment." For example, in the logical statement "x > 5," replacing the variable x with 6 makes the sentence true, as 6 is indeed greater than 5. This principle is foundational in logic and mathematics, where finding such replacements can validate propositions or equations.
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.
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 word for the definition the set of all replacements for the variable in an open sentence that results in a true sentence?
Solution.
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.
Is 3w-7 an open sentence?
Yes, the expression (3w - 7) is considered an open sentence because it contains a variable ((w)) and does not have a specific value assigned to it. Open sentences can take on different values depending on the value of the variable. In contrast, a closed sentence would have a specific value or statement, such as (3w - 7 = 0).
