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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.


A statement that is true for any number or variable?

They're ALL divisible by 1... and themselves !


How do you decide if a number is a solution to the inequality?

Substitute the number in place of the variable, and see whether the inequality is then a true statement.


If a number is substituted for a variable in an equation and the resulting statement is true then what is the number called?

The number is called a solution.


What is the word for a statement that is true for any number or variable?

The word for a statement that is true for any number or variable is a "universal statement" or a "universal quantification." In mathematical logic, this type of statement is typically denoted using the universal quantifier symbol (∀), which signifies "for all" or "for every." Universal statements are used to make generalizations that apply to all elements in a given set or domain.


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.


How do you know when a number is not a solution of an equation?

When you put the number in place of the variable (like maybe the 'x' or the 'y') wherever the variable occurs in the equation, and the statement you get out of all the numbers you have is not true, then you know the number is not a solution.


What is the difference between no solution and undefined?

undefined means you can not do the operation (5/0 is undefined) no solution refers to an equation not having an answer. a solution is a number which you can plug into the variable of an equation and get a true statement. So having no solution means there is no number which you can plug in and get a true statement. As a fraction is not an equation, but an expression it is not right to say that 5/0 has no solution. There is no variable in 5/0, nothing to plug into to get a true or false statement.


Is a number a variable or the product of a number and one or more variables raised to whole number powers?

The statement is true only if either the number is 0, or the variables are all raised to the power 0. In no other case can a variable involved.


How do you replace a variable with a value that result in a true sentence?

To replace a variable with a value that results in a true sentence, first identify the condition or statement in which the variable is used. Substitute the variable with different potential values and evaluate the resulting sentence for truthfulness. Continue testing values until you find one that satisfies the condition, making the entire statement true. This process often involves logical reasoning or basic algebra if the statement is mathematical in nature.


What is A value for a variable that makes a statement true?

Such a value is called a "solution" or "root" of an equation.


What is solving equations about?

It is about finding a value of the variable (or variables) that make the equation a true statement.