Name:Unit 2: Logic & ProofDate: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 statementsbelow. 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 theconditional, inverse, converse, contrapositive, or bi-conditional.p: you have a library cardq: you can check out books8. 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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Description: Name:Unit 2: Logic & ProofDate: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

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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

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ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

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Concept explainers

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Question

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

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