Translate the following statement into logical symbols. Let: p: 12 is a real number. q: 12 is not an even number. r: 12 is not a composite number. s: 12 has a positive square. _____16. 12 is real and an even number. A. p ^ q C. p v q B. p ^ ~q D. p v ~q _____17. 12 is not an even or not a composite number. A. q v r C. ~q v ~p B. ~q v r D. q v ~p _____18. If 12 is a real number, then it is even number and has a positive square A.( p → ~q) ^ s C. ~p → (~q ^ ~s) B. p → ~(q ^ s) D. p → (~q ^ s) _____19. If 12 is a composite number then it has a positive square. A. ~r → ~s C. r → ~s B. ~r → s D. r → s _____20. 12 is a real number if and only if it has a positive square and even number. A. p ↔ (s ^ q) C. p ↔ (s ^ ~q) B. p ↔ (~s ^ q) D. p ↔ (~s ^ ~q)
Translate the following statement into logical symbols.
Let:
|
p: |
12 is a real number. |
|
q: |
12 is not an even number. |
|
r: |
12 is not a composite number. |
|
s: |
12 has a positive square. |
_____16. 12 is real and an even number.
|
A. p ^ q |
C. p v q |
|
B. p ^ ~q |
D. p v ~q |
_____17. 12 is not an even or not a composite number.
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A. q v r |
C. ~q v ~p |
|
B. ~q v r |
D. q v ~p |
_____18. If 12 is a real number, then it is even number and has a positive square
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A.( p → ~q) ^ s |
C. ~p → (~q ^ ~s) |
|
B. p → ~(q ^ s) |
D. p → (~q ^ s) |
_____19. If 12 is a composite number then it has a positive square.
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A. ~r → ~s |
C. r → ~s |
|
B. ~r → s |
D. r → s |
_____20. 12 is a real number if and only if it has a positive square and even number.
|
A. p ↔ (s ^ q) |
C. p ↔ (s ^ ~q) |
|
B. p ↔ (~s ^ q) |
D. p ↔ (~s ^ ~q) |
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