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Is this statement true or falseThe cicumcenter of a triangle is always in the interior of a triangle?
false
In math what one thing do you need to prove a statement is false?
To prove a statement false, you need ONE example of when it is not true.To prove it true, you need to show it is ALWAYS true.
Is The converse of a biconditional statement is always true?
No, not always. It depends on if the original biconditional statement is true. For example take the following biconditional statement:x = 3 if and only if x2 = 9.From this biconditional statement we can extract two conditional statements (hence why it is called a bicondional statement):The Conditional Statement: If x = 3 then x2 = 9.This statement is true. However, the second statement we can extract is called the converse.The Converse: If x2=9 then x = 3.This statement is false, because x could also equal -3. Since this is false, it makes the entire original biconditional statement false.All it takes to prove that a statement is false is one counterexample.
Can a statement be true or false?
Yes, a statement can be true or false but without knowing what the statement is no-one can possibly say whether it is true or it is false.
When comparing two integers the integer with the bigger absolute value is always the greater integer?
The statement is false.
