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What else can I help you with?
How can you write an inequality that is neither true nor false?
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.
What is false equation?
equation
What is an open sentence in math?
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
True Or False Any value that is unknown or can change is a variable?
True.
A variable expression cannot consist of numbers or operations?
False X4
How many solutions does an equation have when the variable adds out and the final sentence is false?
none
How many solutions does an equation have if the variable adds out and the final sentence is true?
If an equation simplifies such that the variable cancels out and results in a true statement (like (5 = 5)), it has infinitely many solutions. This is because any value of the variable will satisfy the equation. Conversely, if the simplification leads to a false statement (like (5 = 3)), it has no solutions.
What does open sentence mean?
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.
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 a solution to an open sentence?
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
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.
What is a replacement for the variable in an open sentence?
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.
What is a true sentence in math?
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 .
True or false In a nonlinear equation each variable must only have one solution?
In a nonlinear equation, each variable must only have one solution.
When a equation uses addition the variable can be solved by subtraction True or False?
True.
What is the contradiction of an equation?
The contradiction of an equation refers to a situation where the equation has no solutions. This occurs when the expressions on both sides of the equation are fundamentally incompatible, leading to a statement that is always false. For example, an equation like (2x + 3 = 2x + 5) results in a contradiction because simplifying it yields (3 = 5), which is not true. Such contradictions indicate that the original equation does not hold for any value of the variable.
Why is an equation with one or more variables called an open sentence?
An equation with one or more variables is called an open sentence because it does not have a specific, fixed truth value; it can be true or false depending on the values assigned to its variables. Unlike a closed sentence, which has a definitive truth value (true or false), an open sentence requires specific values to be substituted in to evaluate its truth. This characteristic allows for various solutions, making it essential in algebra and other mathematical fields.
