If you use a variable, or variables, with an equation, or with an inequality, it is neither true nor false until you replace the variables with specific values.
Every sentence to which standard logic applies has exactly one of the truth values (that is, either true or false, but not both). No sentence can be both true and false.An equation is a statement that sets two mathematical expressions equal.When both sides of an equation are numerical expressions (contain no variables), the equation is a closed statement. This means the equation can be assigned a truth value.Example:2 + 5 = 7 true 2(3) - 2 = 6 falseIf an equation is neither true nor false, the equation is an open sentence.An open sentence is a mathematical statement with one or more variables. When variables are present in an equation, the solution is unknown. The set of numbers that you use to represent the variable(s) is called the replacement set. The solution set is found when any value(s) for the variable from the replacement set makes the equation a true statement.Examples: 3x+6=20; 12n-5=45; 6a+2b+7c=84; 4p>25; 9s+24
In math, that refers to an equation which includes a variable. Such an equation may be true, or false, depending on the value assigned to the variable.
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.
an open sentence can be either true or false, depending on what values are substituted for the variables. A SOLUTION of an open sentence with on variable is a value that makes the sentence true. The solution of the equation x+3=5 is 2. One solution of the inequality x-1>4 is 6, and there are many more solutions. hope this helps
Because it is neither true or false until the variable is replaced with a specific value making the sentence true or false.
In a nonlinear equation, each variable must only have one solution.
A sentence is made up of two expressions connected by an equal sign or an inequality sign (such as <). If there's an '=' sign, it's an equation, otherwise it's an inequality. A sentence with a variable in it is called an open sentence - you need to put a number in for the variable to see whether it is true or false. If the sentence has no variable in it, then we can decide whether it is true or false. Examples of a true sentences: 1 + 6 = 7 4 > 2 5 + 17 = 11 times 2 .
You normally "solve" something when there is a variable involved. In this case there is no variable. All you have to do is decide whether it is true or false. If this is derived from an original equation (or, in this case, inequality) which involved variables, then if the equation (or inequality) without variables is true, it means it is true for ANY value of the variable. If it is false, the original equation (or inequality) can't be satisfied by any value of the 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.
Imagination is dependent. False autobiographical memories is independent.
True - otherwise there would be no point in doing it!