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Conditional Statements

Conditional Statements. Warm Up. Given the statement: If I am young, then I am not old 1. Write the: a) Converse b) Inverse c) Contrapositive Is the statement Biconditional ? What is the symbol form of an inverse statement?.

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Conditional Statements

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  1. Conditional Statements

  2. Warm Up Given the statement: If I am young, then I am not old 1. Write the: a) Converse b) Inverse c) Contrapositive • Is the statement Biconditional? • What is the symbol form of an inverse statement?

  3. What is the negation of the statement:“Ms. Craddock is a great teacher” • Ms. Craddock is a good teacher • Ms. Craddock is not a great teacher • Ms. Craddock is not a teacher • Ms. Craddock is a student Response Grid

  4. What is the negation of the statement“It is raining” • It is sunny • It is drizzling • I need an umbrella • It is not raining Response Grid

  5. What is the converse of the statementIf it is a man, then it is not a woman • If it is not a woman, then it is not a man. • If it is not a man, then it is a woman • If it is not a woman, then it is a man. • If it is a woman, then it is not a man Response Grid

  6. Is the statement “If it is a man, then it is not a woman”biconditional? • Sometimes • No • Yes Response Grid

  7. Write the contrapositive of the statement“If I am alive, then I am breathing” • If I am not alive, then I am not breathing • If I am breathing, then I am alive • I am not alive. • If I am not breathing, then I am not alive Response Grid

  8. Is the statement “If I am alive, then I am breathing”biconditional? • Sometimes • No • Yes Response Grid

  9. Given the statement:“If it is 13, then it is odd.”Which type of statement is“If it is not 13, then it is not odd.” • Inverse • Converse • Contrapositive • Biconditional Response Grid

  10. “If it is not 13, then it is not odd.” • True • False Response Grid

  11. “If it is prime, then it is not even” • True • False Response Grid

  12. Given the statement“If it is prime, then it is not even”Which type of statement is“If it is even, then it is not prime”? • conditional • inverse • converse • contrapositive Response Grid

  13. What is the conclusion of the statement:“If two planes intersect.. • Then they intersect in a point • Then they intersect in a right angle • Then they intersect in a line • Then they do not intersect in a line Response Grid

  14. A converse statement in symbols: • q -> p • ~q -> p • p -> q • ~p -> ~q Response Grid

  15. A contrapositive statement in symbols • ~q -> ~p • ~p -> ~q • p -> q • q -> p Response Grid

  16. An inverse statement in symbols • ~q -> ~p • ~p -> ~q • p -> q • q -> p Response Grid

  17. If a contrapositive statement is true, which of these must also be true? • Biconditional • Conditional: “If then” • converse • inverse Response Grid

  18. If a conditional statement is true, and is not biconditional, which of these would be false? • Contrapositive • Inverse • converse • Both 2 and 3 Response Grid

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