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An open sentence that is true for any number?
An identity.
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.
Is it true that the greatest common factor of any to our numbers is always odd?
No, it is not true: it depends on what your numbers are.
What one word means true statements for any numbers?
Properties are true statements for any numbers. There are three basic properties of numbers: Associative, Commutative, and Distributive Properties.
Is the gcf of any two even numbers is always even true or false?
True.
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.
Is this true for any two even numbers?
It depends what the statement is.
Is it true the gcf of any two numbers always even and why?
No
Is it true that any 2 odd numbers can be even?
yes
Is it true or false that the greatest common factor of any 2 odd numbers is odd?
True
Is the gcf of any two even numbers is always even true?
Yes, that is true.
All negative numbers are integer true or false?
An integer is any whole number, so the answer would be true.
