1 / 10

2-1: Conditional Statements

Chapter 2. 2-1: Conditional Statements. Conditional. Also referred to as an “if-then” statement: “ If you are not completely satisfied, then your money will be returned.” Every conditional has two parts, the hypothesis and the conclusion. Hypothesis. The part following “ if ”:

marvinsimpson
Télécharger la présentation

2-1: Conditional Statements

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 2 2-1:Conditional Statements

  2. Conditional • Also referred to as an “if-then” statement: • “If you are not completely satisfied, then your money will be returned.” Every conditional has two parts, the hypothesis and the conclusion.

  3. Hypothesis • The part following “if”: • “If you are not completely satisfied, then your money will be returned.” • Hypothesis: You are not completely satisfied.

  4. Conclusion • The part following “then” • “If you are not completely satisfied, then your money will be returned.” • Conclusion: Your money will be returned.

  5. Identify the hypothesis and conclusion: If y – 3 = 5, then y = 8. Hypothesis: y – 3 = 5 Conclusion: y = 8 If today is the first day of fall, then the month is September. Hypothesis: Today is the first day of fall. Conclusion: The month is September.

  6. Writing a Conditional • Write each sentence as a conditional: (remember, if-then statements) A rectangle has four right angles. A tiger is an animal. If it is a rectangle, then it has four right angles. If it is a tiger, then it is an animal.

  7. Writing a Conditional • Write the sentence as a conditional: (remember, if-then statements) An integer that ends with 0 is divisible by 5. If an integer ends with 0, then it is divisible by 5.

  8. Finding a Counterexample • A conditional can have a truth value of true or false. To show that a conditional is true, show that every time the hypothesis is true, the conclusion is also true. • To show that a conditional is false, you need to find only one counterexample for which the hypothesis is true and the conclusion is false.

  9. Find a Counterexample • Show that the following conditionals are false by finding a counterexample: If it is February, then there are only 28 days in the month. If the name of a state contains the word North, then the state borders an ocean. February 2012 (Leap Year) North Dakota

  10. Homework • Section 2-1 • p. 83, #’s 1-18, 38-40, 54-58

More Related