Directions: Complete each truth table. 9. ~p v ~q

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.CT: Test
Problem 1CT
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4. -p A
Topic 4: Bi-Conditional Statements
Bi-Conditional:
Read as:
True when both conditional (p - a) and converse (g - p) are true!
Use the given statements to write the conditional, converse, and bi-conditional. Determine
the truth value of the bi-conditional. Explain.
15. p: a quadrilateral is a square; q: it has four congruent sides
Conditional:
Converse:
Bi-Conditional:
Truth Value:
Topic 5: Deductive Reasoning
Law of Syllogism:
Law of Detachment:
Use the Law of Detachment or Law of Syllogism to make a conclusion. If a conclusion
cannot be made, write "no valid conclusion".
16. Given: If it is Thursday, then Emma has drama club.
If Emma has drama club, then she must take the late bus.
Conclusion:
17. Given: If two angles are vertical, then they are congruent.
Two angles are congruent.
Conclusion:
18. Given: If the football team raises at least $5000, then they can buy new uniforms.
The football team raised $5800.
Conclusion:
19. Given: If you return a book to the library late, then you will pay a fee.
If you do not pay your library fees, then you may lose your library card.
Conclusion:
Nam
Reaso
late
operty
fy
Transcribed Image Text:4. -p A Topic 4: Bi-Conditional Statements Bi-Conditional: Read as: True when both conditional (p - a) and converse (g - p) are true! Use the given statements to write the conditional, converse, and bi-conditional. Determine the truth value of the bi-conditional. Explain. 15. p: a quadrilateral is a square; q: it has four congruent sides Conditional: Converse: Bi-Conditional: Truth Value: Topic 5: Deductive Reasoning Law of Syllogism: Law of Detachment: Use the Law of Detachment or Law of Syllogism to make a conclusion. If a conclusion cannot be made, write "no valid conclusion". 16. Given: If it is Thursday, then Emma has drama club. If Emma has drama club, then she must take the late bus. Conclusion: 17. Given: If two angles are vertical, then they are congruent. Two angles are congruent. Conclusion: 18. Given: If the football team raises at least $5000, then they can buy new uniforms. The football team raised $5800. Conclusion: 19. Given: If you return a book to the library late, then you will pay a fee. If you do not pay your library fees, then you may lose your library card. Conclusion: Nam Reaso late operty fy
Na
4. -p A
Directions: Complete each truth table.
9. ~p v ~q
10. ~r v (~p n q).
Re
ate
Contrapositive:
pe
Converse:
Topic 3: Conditional Statements
Inverse:
Conditional:
Use the following statements to write conditional statements. Determine the truth value.
p: two angles form a linear pair; q: they are adjacent angles
Truth Value:
11. Conditional:
Truth Value:
12. Inverse:
18. Gi
Truth Value:
13. Converse:
Truth Value:
14. Contrapositive:
oper-
Agru
O Gina
Transcribed Image Text:Na 4. -p A Directions: Complete each truth table. 9. ~p v ~q 10. ~r v (~p n q). Re ate Contrapositive: pe Converse: Topic 3: Conditional Statements Inverse: Conditional: Use the following statements to write conditional statements. Determine the truth value. p: two angles form a linear pair; q: they are adjacent angles Truth Value: 11. Conditional: Truth Value: 12. Inverse: 18. Gi Truth Value: 13. Converse: Truth Value: 14. Contrapositive: oper- Agru O Gina
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