they can detonate from the slightest movement
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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.
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.
A true statement.
You make a statement that is either a true one or a false one. Simple as that. For example, you might say "The moon is made of green cheese" as a false statement and most people know that's wrong.
A bi-conditional statement is one which says that if any one of two statements is true, the other is true, too. It generally takes the form, X is true if and only if Y is true, or X is equivalent to Y, where X and Y are simpler statements.