Directions: Identify the hypothesis and conclusion of the following conditional statements. 1. If the product of two numbers is 0, then at least one of the numbers must be 0. Hypothesis: Conclusion:

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 37E
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Name:
Unit 2: Logic & Proof
Date:
Bell:
Homework 3: Conditional Statements
** This is a 2-page document! **
Directions: Identify the hypothesis and conclusion of the following conditional statements.
1. If the product of two numbers is 0, then at least one of the numbers must be 0.
Hypothesis:
Conclusion:
2. If it is daylight saving time, then I must reset my clocks.
Hypothesis:
Conclusion:
Directions: Write the following statements in if-then form.
3. A rhombus is a quadrilateral with four congruent sides.
4. Those that finish the marathon will get a medal.
5. All freshman are required to attend orientation.
Directions: Write the inverse, converse, contrapositive, and bi-conditional of the conditional statements
below. Determine their truth value. If false, explain or give a counterexample.
6. If you live in Dallas, then you live in Texas.
Inverse:
Truth Value:
Converse:
Truth Value:
Contrapositive:
Truth Value:
Bi-Conditional:
Truth Value:
© Gina Wilson (All Things Algebra), 2014
Transcribed Image Text:Name: Unit 2: Logic & Proof Date: Bell: Homework 3: Conditional Statements ** This is a 2-page document! ** Directions: Identify the hypothesis and conclusion of the following conditional statements. 1. If the product of two numbers is 0, then at least one of the numbers must be 0. Hypothesis: Conclusion: 2. If it is daylight saving time, then I must reset my clocks. Hypothesis: Conclusion: Directions: Write the following statements in if-then form. 3. A rhombus is a quadrilateral with four congruent sides. 4. Those that finish the marathon will get a medal. 5. All freshman are required to attend orientation. Directions: Write the inverse, converse, contrapositive, and bi-conditional of the conditional statements below. Determine their truth value. If false, explain or give a counterexample. 6. If you live in Dallas, then you live in Texas. Inverse: Truth Value: Converse: Truth Value: Contrapositive: Truth Value: Bi-Conditional: Truth Value: © Gina Wilson (All Things Algebra), 2014
7. If a number is a natural number, then it is also a whole number.
Inverse:
Truth Value:
Converse:
Truth Value:
Contrapositive:
Truth Value:
Bi-Conditional:
Truth Value:
Directions: Write the appropriate statement to match the symbolic notation. Then, classify it as the
conditional, inverse, converse, contrapositive, or bi-conditional.
p: you have a library card
q: you can check out books
8. р — q:
Classify:
9. ~g → ~p:
Classify:
10. q → p:
Classify:
11. ~p → Nq:
Classify:
12. р+ q:
Classify:
© Gina Wilson (All Things Algebra), 2014
Transcribed Image Text:7. If a number is a natural number, then it is also a whole number. Inverse: Truth Value: Converse: Truth Value: Contrapositive: Truth Value: Bi-Conditional: Truth Value: Directions: Write the appropriate statement to match the symbolic notation. Then, classify it as the conditional, inverse, converse, contrapositive, or bi-conditional. p: you have a library card q: you can check out books 8. р — q: Classify: 9. ~g → ~p: Classify: 10. q → p: Classify: 11. ~p → Nq: Classify: 12. р+ q: Classify: © Gina Wilson (All Things Algebra), 2014
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