Conditional Statements and Their Variations
Explore the concept of conditional statements with examples such as if-then statements, converse, inverse, and contrapositive. Learn how to switch, negate, and analyze statements to deepen your understanding of logic and reasoning.
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Presentation Transcript
Conditional Statements Also known as if-then statements. Here is an example: If you are a basketball player, then, you are an athlete.
There are 2 parts to a conditional statement: The Hypothesis If you are a basketball player, then, you are an athlete. The Conclusion
Converse Switch the hypothesis and the conclusion If you are a basketball player, then, you are an athlete. If you are an athlete, then you are a basketball player.
Inverse Negate the conditional statement If you are a basketball player, then, you are an athlete. If you are NOT a basketball player, then, you are NOT an athlete.
Contrapositive Switch and Negate the conditional statement If you are a basketball player, then, you are an athlete. If you are NOT an athlete, then, you are NOT a basketball player.
Write the converse, inverse, and contrapositive of the following statement. If you like tennis, then you go to the tennis match.
If you like tennis, then you go to the tennis match. Conditional If you go to the tennis match, then you like tennis. Converse If you do not like tennis, then you do not go to the tennis match. Inverse If you do not go to the tennis match, then you do not like tennis. Contrapositive
