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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.
How do you know whether to use an open circle or a closed circle when graphing an inequality and why?
An open or closed circle are used to graph an inequality in one variable. An open circle is used if the value at the end point is excluded from the feasible region while a closed circle is used if the value at that point is within the accepted region.
What part of speech is open in the sentence tell Maxwell to open the door?
"Open" is a verb in the sentence, "Tell Maxwell to open the door."
What does solutions mean in math?
An open statement is a sentence that contains a variable , such as x. The solution set for an open sentence is the set of values that when substituted for the variable make a true statement. The members of the solution set are called solutions. Examples: x = 2. Solution set is {2} solution is 2. x2 - 5 = 4 Solution set is {-3, 3 } solutions are -3 and 3. x > 0 Solution set = {x " x > 0 } That is all positive numbers. Every positive number is a solution. There are some finer points that I did not mention such as the possibility of more than one variable and limitations on the values that allowed in the substitutions.
How do you solve open senteces?
A sentence - whether open or not - cannot be solved.
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 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.
Why an open sentence always has at least one 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.
What is a open number sentence?
An open number sentence is a sentence which contains a variable. A variable is a unknown number but replaced with a letter and can be on either side of an equals sign.
What is an open number sentence?
An open number sentence is a sentence which contains a variable. A variable is a unknown number replaced with any letter and can appear on either side of the equals sign.
What is the number that can replace a variable?
Answer 1 == In an open sentence (an equation or inequality with a variable in it), when a number replacing the variable makes the sentence true, then it is a solution.
What is a value that satisfies an open sentence called?
A value that satisfies an open sentence is called a solution or a root of the open sentence.
What is an equation which contains a variable called?
An open sentence.
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
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 the word for the definition the set of all replacements for the variable in an open sentence that results in a true sentence?
Solution.
A value that satisfies an open sentence?
a solution
