Conditional Original IF-THEN statement.

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Presentation transcript:

Conditional Original IF-THEN statement

Converse When you switch both the hypothesis and conclusion If HYPOTHESIS, then CONCLUSION If CONCLUSION, then HYPOTHESIS

If HYPOTHESIS, then CONCLUSION Inverse Think: INSERT When you leave the conditional the way it is & make it negative NOT NOT If HYPOTHESIS, then CONCLUSION

Contrapositive Think: COMBINATION When you switch both the hypothesis & conclusion, AND insert a negative BEFORE: If HYPOTHESIS, then CONCLUSION NOT NOT If CONCLUSION, then HYPOTHESIS

Things to keep in mind If it is already Negative, and you are taking the inverse of contrapositive, then you get rid of the NOT Conditional: If you do NOT like cheese, then you do NOT like pizza INVERSE: If you like cheese, then you like pizza

Biconditional Combines the Condition & Converse If BOTH are true, then it is biconditional Include the words: IF AND ONLY IF Example: If a shape is round, then it is a circle. If it is a circle, then the shape is a circle. A shape is round, IF AND ONLY IF, it is a circle.

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