a solution
a solution
7
3x + 8 = 4x + 23x - 4x = 2 - 8-x = -6x = 6
It is called the "soulltion set"
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.
A value that satisfies an open sentence is called a solution or a root of the open sentence.
domain
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.
It is the solution of the given equation.
Yes, the expression (3w - 7) is considered an open sentence because it contains a variable ((w)) and does not have a specific value assigned to it. Open sentences can take on different values depending on the value of the variable. In contrast, a closed sentence would have a specific value or statement, such as (3w - 7 = 0).
a solution
7
A missing value in a number sentence or equation is an unknown quantity represented by a variable, often denoted by a letter like ( x ). It can be solved by isolating the variable through algebraic manipulation, allowing us to find the value that satisfies the equation. For example, in the equation ( 3 + x = 7 ), the missing value is ( x ), which can be determined to be 4.
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.
5.0
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
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