3.2 EXERCISES Use the concepts introduced in this section to answer Exercises 1-6. If q is false, what must be the truth value of the statement (p^-q) ^ q? :. 3. If the statement p A q is true, and p is true, then q must be 5. If ~(p V q) is true, what must be the truth values of the component statements? The high f . 2. If. 9 mu 6. If the
3.2 EXERCISES Use the concepts introduced in this section to answer Exercises 1-6. If q is false, what must be the truth value of the statement (p^-q) ^ q? :. 3. If the statement p A q is true, and p is true, then q must be 5. If ~(p V q) is true, what must be the truth values of the component statements? The high f . 2. If. 9 mu 6. If the
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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How do I do the circled questions in the image? I have notes on it but stil not sure
![3.2 EXERCISES
A truth table will show that the statements
Print
are negations.
~p V (q ^ ~p) and p^ (~q V p)
1.-
'...
Use the concepts introduced in this section to answer Exercises 1-6.
1. If q is false, what must be the truth value of the statement
(p ^ ~q) ^ q? ;. <
3. If the statement p ^ q is true, and p is true, then q
must be
5. If ~(p V q) is true, what must be the truth values of
the component statements? 1
19. Is the statement 5 ≥ 2 a conjunction or a disjunction?
Why? 1: ..
:
2. If q is true. what must be the truth value of the statement
qV (q^p)? ...
Activity Details
4. If the statement p V q is false, and p is false, then q
must be_________
6. If ~(py) is false, what must be the truth values of
the component statements? e
il
Let p represent a false statement and let q represent a true statement. Find the truth value of the given compound statement.
7. ~p T
8. ~q !
10. p^ q i
9. PV 4
13~PV-9
14. p ^ ~q 1
11 p v~q 1-
15~(p^~9) !
12. ~p ^ q :
16. ~(~p~9) !
17. ~[~p ^ (~q V p)]
18. ~[(~p ^ ~q) v ~q]:
.
20. Why is the statement 7 3 true? Why is 9 ≥ 9 true?
1
1 ar
<
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Transcribed Image Text:3.2 EXERCISES
A truth table will show that the statements
Print
are negations.
~p V (q ^ ~p) and p^ (~q V p)
1.-
'...
Use the concepts introduced in this section to answer Exercises 1-6.
1. If q is false, what must be the truth value of the statement
(p ^ ~q) ^ q? ;. <
3. If the statement p ^ q is true, and p is true, then q
must be
5. If ~(p V q) is true, what must be the truth values of
the component statements? 1
19. Is the statement 5 ≥ 2 a conjunction or a disjunction?
Why? 1: ..
:
2. If q is true. what must be the truth value of the statement
qV (q^p)? ...
Activity Details
4. If the statement p V q is false, and p is false, then q
must be_________
6. If ~(py) is false, what must be the truth values of
the component statements? e
il
Let p represent a false statement and let q represent a true statement. Find the truth value of the given compound statement.
7. ~p T
8. ~q !
10. p^ q i
9. PV 4
13~PV-9
14. p ^ ~q 1
11 p v~q 1-
15~(p^~9) !
12. ~p ^ q :
16. ~(~p~9) !
17. ~[~p ^ (~q V p)]
18. ~[(~p ^ ~q) v ~q]:
.
20. Why is the statement 7 3 true? Why is 9 ≥ 9 true?
1
1 ar
<
>
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