course Mth 151
March 1 around 10:00
Mary Sholesassignment 14-QA
q001:
There are a total of four possibilities.
1. p and q are both true (TT)
2. p is false an q is true (FT)
3. p is true and q is false (TF)
4. p and q are both false (FF)
*3 on confidence scale
q002:
p^q is true when p and q are both true. So (TT) would be the only true statement
*2 on confidence scale
q003:
The headings would be p, q, and p^q. The rows would look like:
TTT
TFF
FTF
FFF
*2 on confidence scale
q004:
(TF) would be the only one true for the proposition p^~q
*2 on confidence scale
q005:
The headings would be p, q, ~q, and p^~q. The rows would look like:
TTFF
TFTT
FTFF
FFTF
*2 on confidence scale
q006:
The would be that it would be a true statement if at least one is true. The truth table would have the headings p q pUq and the rows would look like:
TTT
TFT
FTT
FFF
q007:
TT would be false because both p and q are true. TF would be false because p is true and q is false . FT would be true because p is false and q is true. FF is false because both p and q are false.
*1 on confidence scale
q008:
Headings would include p, q, ~q, pU~q, and ~(pU~q)
The rows would therefore look like:
TTFTF
TFTTF
FTFFT
FFTTF
*2 on confidence scale
&#Please let me know if you have questions. &#