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Conditional Statements

Conditional Statements. By: [NAME REMOVED]. Vocabulary. Conditional Statements An if-then statement. Hypothesis The if part of a conditional statement. Conclusion The then part of a conditional statement. Inverse Statement To make the conditional statement negative.

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Conditional Statements

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  1. Conditional Statements By: [NAME REMOVED]

  2. Vocabulary • Conditional Statements • An if-then statement. • Hypothesis • The if part of a conditional statement. • Conclusion • The then part of a conditional statement. • Inverse Statement • To make the conditional statement negative. To make the if-then statement negative. • Converse Statement • Flip the if-then conditional statement, then it becomes converse. • Contrapositive Statement • Flip and make the conditional if-then statement negative.

  3. Theorems and Axioms of Conditional Statements Law of Detachment: If you have a true conditional statement and the hypothesis is true, then you may conclude that the conclusion is true. • If p then q • P is true • Then q is true 12/2/14

  4. Theorems and Axioms of Conditional Statements Law of Syllogism-(the conclusion is another conditional statement) • If p then q • If q then r • Therefore, if p then r 12/2/14

  5. Worked Examples • Example 1:You are given this conditional statement: If I am a turtle, than I am a reptile. What are the Inverse, Converse, and Contrapositive statement? • Make the original statement negative. • Flip the original statement. • Flip the original statement and make it negative.

  6. Worked Examples • Example 2: You are given this conditional statement: If I eat spinach, than I am Popeye What are the Inverse, Converse and Contrapositive statements? • Make the original statement negative. • Flip the original statement. • Flip the original statement and make it negative.

  7. Tips and Tricks To come up with different statements all you have to do is: • Flip the original statement, meaning change the “then” to the “it”, and the “it” to the “then”. • Make the original statement negative • Or flip the original statement and make it negative. Side-note: Negative means to add not in front of the statement. Flip means to make the conclusion the hypothesis.

  8. Practice Problems Number 1: You are given this Contrapositive Statement: If I don’t like Wonder Woman, then I am not a feminist. What is the original conditional statement?

  9. Practice Problems Number 2: You are given this Converse Statement: If you like the 1975, then you are Victoria. What is the original conditional statement?

  10. Practice Problems Number 3: You are given this Conditional Statement: If you like Brussel sprouts, then you are awesome. What is the inverse statement?

  11. Practice Problems Number 4: You are given a Conditional Statement: If 7x/2 equals 28, then x equals 8. What is the converse statement?

  12. Practice Problems Number 5: You are given this inverse statement: If you don’t do 200 squats, then you won’t be tired. What is the contrapositive statement?

  13. Practice Problem Answers • Number 1: If I am a feminist, then I do like wonder woman. • Number 2: If you are Victoria, then you like the 1975. • Number 3:If you don’t like brussels sprouts, then you are not awesome. • Number 4: If x equals 6, then 7x/2 equals 28. • Number 5: If you are not tired, then you did not do 200 squats.

  14. Works Cited • "Logic." Mrs. Grieser's Algebra Wiki: WikiGrieser /. N.p., n.d. Web. 07 Dec. 2014 • "| CK-12 Foundation." | CK-12 Foundation. N.p., n.d. Web. 07 Dec. 2014.. 12/2/14

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