the #
They're ALL divisible by 1... and themselves !
Substitute the number in place of the variable, and see whether the inequality is then a true statement.
The number is called a solution.
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.
You substitute the value of the variable into the equation and simplify. If the rsult is a true statement then that value of the variable really does satisfy the equation.
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.
They're ALL divisible by 1... and themselves !
Substitute the number in place of the variable, and see whether the inequality is then a true statement.
The number is called a solution.
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.
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.
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.
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.
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.
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.
Such a value is called a "solution" or "root" of an equation.
It is about finding a value of the variable (or variables) that make the equation a true statement.