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# A replacement for a variable that results in a true sentence?

Updated: 9/22/2023

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Q: A replacement for a variable that results in a true sentence?
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a "solution"

### The value for a variable that results in a true sentence?

That's the "solution" to the equation described by the sentence.

### What is the value for a variable that results in a true sentence?

That's the "solution" to the equation described by the sentence.

Solution.

### 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.

### 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.

TRUE!

### An equation that is made true by any permissible replacement value for the variable is called?

It is an identity.

True

true

### 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.