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What is the difference between an open sentence and an expression?
An open sentence is a mathematical statement with variables that can be true or false depending on the values assigned to the variables. An expression, on the other hand, is a mathematical phrase that combines numbers, variables, and operations but does not contain an equal sign, so it does not represent a relationship or a statement. In simpler terms, an open sentence is like a question that can be answered, while an expression is like a calculation that can be simplified.
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.
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.
Which direction would the graph of y-x plus 2 plus 3 open?
The question contains an expression, not an equation. An expression does not have a graph. Furthermore, even if it were an equation, its form suggests that it would be a linear equation and a linear equation does not open in any direction.
How can you tell whether a mathematical sentence is or is not an open sentence?
if it has a question mark rather than =
