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What are open sentences in mathematics?
Open sentences in mathematics are expressions that contain one or more variables and are neither true nor false until the variables are assigned specific values. For example, the equation (x + 3 = 7) is an open sentence because it can be true for some values of (x) (specifically, (x = 4)) and false for others. Open sentences are often used in algebra to model relationships and solve equations. They contrast with closed sentences, which have a definite truth value.
What are the similarities of equation and inequalities?
They both: - have variables, - are open sentences, - consist of two expressions joined by a "verb" (equals or inequality sign), - have solution sets (which may be empty or have one or more elements).
What is a mathematical phrase that uses variables?
an open sentence.
What do you call an equation with one or more variables?
It is called an open sentence.
An equation or inequality that contains one or more variables is?
open sentence
What are open sentences in mathematics?
Open sentences in mathematics are expressions that contain one or more variables and are neither true nor false until the variables are assigned specific values. For example, the equation (x + 3 = 7) is an open sentence because it can be true for some values of (x) (specifically, (x = 4)) and false for others. Open sentences are often used in algebra to model relationships and solve equations. They contrast with closed sentences, which have a definite truth value.
What are the similarities of equation and inequalities?
They both: - have variables, - are open sentences, - consist of two expressions joined by a "verb" (equals or inequality sign), - have solution sets (which may be empty or have one or more elements).
Is an equation always open sentences?
No
What is open phrase?
An open sentence (usually an equation or inequality) is described as "open" in the sense that its truth value is meaningless until its variables are replaced with specific numbers, at which point the truth value can usually be determined (and hence the sentences are no longer regarded as "open"). How this differs from the far more conventional 'satisfied' or 'unsatisfied', is beyond the coign of vantage of this algebraist.
What are the example of command sentences?
Open the door.
What is an equation with one or more variables?
Open Sentence
What is a mathematical phrase that uses variables?
an open sentence.
Where can you find words in sentences in a book?
All books have words in sentences. Just open the book and start reading.
What is the set of numbers that make an open sentence true?
an open sentence is defined as one that contains "free variables," which are variable that have not been assigned a specific meaning. Because of this open sentences cannot be labeled as true or false, their status is "open. Any number that makes the open sentence true satisfies it. In general we would call these the solutions or solution set. I must state that there are many definitions in many books that all give slightly different answers to what an open sentence is.
What do you call an equation with one or more variables?
It is called an open sentence.
An equation or inequality that contains one or more variables is?
open sentence
What is a number called that when substituted into an open sentence it makes the sentence true?
A open sentence is an equation with one or more variables is an open sentence.
