Statement: A statement is a declarative sentence that asserts something which can be either true or false, but not both. It's a claim or assertion about a particular subject. Deciding if Two Statements Are Logically Equivalent To determine if two statements are logically equivalent, you need to check if they always have the same truth value in every possible scenario. Here's how you can do that: Truth Tables: One common method is to use truth tables. You list all possible truth values of the components of the statements and then determine the truth value of each statement for every possible combination. If both statements have the same truth values across all scenarios, they are logically equivalent. Logical Analysis: Another method involves logical analysis. This means examining the structure of the statements and their logical relationships. For example, using logical equivalences and rules to transform one statement into another can help you determine if they are logically equivalent