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.
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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.
Solution or a root
A open sentence is an equation with one or more variables is an open sentence.
A solution set makes a mathematical sentence TRUE.
An expression has no equal sign but an open sentence does Ex:2+4=6 open sentence Ex:2x5 Expression
A value that satisfies an open sentence is called a solution or a root of the open sentence.
a solution
Solution.
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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.
Solution or a root
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 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.
A open sentence is an equation with one or more variables is an open sentence.
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.
Another type of an open sentence
A solution set makes a mathematical sentence TRUE.