Assignment 33

#$&*

course mth 151

014. Truth Tables

*********************************************

Question: `q001. There are 8 questions in this set.

If each of the propositions p and q can be either true or false, what

combinations of truth values are possible for the two propositions (e.g., one

possibility is that p is false and q is true; list the other possibilities)?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

P Q

T T

T F

F F

F T

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q002. For each of the possibilities TT, TF, FT and FF, what is

the truth value of the compound statement p ^ q ?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: statemment means both p and q must be true

TT is true

TF is fales

FT is false

FF is false

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q003. Write the results of the preceding problem in the form of a

truth table.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

p q p^q

T T T

T F F

F T F

F F F

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q004. For each of the possible combinations TT, TF, FT, FF, what is

the truth value of the proposition p ^ ~q?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: statement mean p is true and q is false

TT is false

TF is true

FT is false

FF is false

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q005. Give the results of the preceding question in the form of a

truth table.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

p q ~q p^~q

T T F F

T F T T

F T F F

F F T F

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q006. Give the truth table for the proposition p U q, where U stands

for disjunction.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

p q p or q

T T T

T F T

F T T

F F F

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q007. Reason out the truth values of the proposition ~(pU~q).

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

p q ~p ~q (~p or ~Q)

T T F F F

T F F T F

F T F T T

F F T T T

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q008. Construct a truth table for the proposition of the preceding

question.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

p q ~q ~p pU~q ~(pU~q)

T T F F T F

T F T F T F

F T F F F T

F F T T T F

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

===============================================================================================

014. `query 14

*********************************************

Question: `q3.3.5 rewrite using if then ' all marines love boot camp

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: if it is a marine, then it loves boot camp

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q3.3.18 ~p false q false p -> q true

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: this is true

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `qQuery 3.3.36 write in symbols 'If we don't bike, then it does not

rain.'

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: p = dont bike; q = doesn't rain

p==>q

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `qQuery 3.3.48 q true, p and r false, evaluate (-r U p) -> p

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: this is false

first part is true and second part is falstsse ==> statement is false

confidence rating #$&*: not very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `qQuery 3.3.60 truth table for (p ^ q) -> (p U q)

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

p, q ,(p^q), (pUq), (p^q)->(pUq)

T T T T T

T F F T T

F T F T T

F F F F T

confidence rating #$&*: not very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

"

Self-critique (if necessary):

------------------------------------------------

Self-critique rating:

Assignment 33

#$&*

course mth 151

014. Truth Tables

*********************************************

Question: `q001. There are 8 questions in this set.

If each of the propositions p and q can be either true or false, what

combinations of truth values are possible for the two propositions (e.g., one

possibility is that p is false and q is true; list the other possibilities)?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

P Q

T T

T F

F F

F T

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q002. For each of the possibilities TT, TF, FT and FF, what is

the truth value of the compound statement p ^ q ?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: statemment means both p and q must be true

TT is true

TF is fales

FT is false

FF is false

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q003. Write the results of the preceding problem in the form of a

truth table.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

p q p^q

T T T

T F F

F T F

F F F

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q004. For each of the possible combinations TT, TF, FT, FF, what is

the truth value of the proposition p ^ ~q?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: statement mean p is true and q is false

TT is false

TF is true

FT is false

FF is false

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q005. Give the results of the preceding question in the form of a

truth table.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

p q ~q p^~q

T T F F

T F T T

F T F F

F F T F

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q006. Give the truth table for the proposition p U q, where U stands

for disjunction.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

p q p or q

T T T

T F T

F T T

F F F

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q007. Reason out the truth values of the proposition ~(pU~q).

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

p q ~p ~q (~p or ~Q)

T T F F F

T F F T F

F T F T T

F F T T T

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q008. Construct a truth table for the proposition of the preceding

question.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

p q ~q ~p pU~q ~(pU~q)

T T F F T F

T F T F T F

F T F F F T

F F T T T F

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

===============================================================================================

014. `query 14

*********************************************

Question: `q3.3.5 rewrite using if then ' all marines love boot camp

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: if it is a marine, then it loves boot camp

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q3.3.18 ~p false q false p -> q true

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: this is true

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `qQuery 3.3.36 write in symbols 'If we don't bike, then it does not

rain.'

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: p = dont bike; q = doesn't rain

p==>q

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `qQuery 3.3.48 q true, p and r false, evaluate (-r U p) -> p

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: this is false

first part is true and second part is falstsse ==> statement is false

confidence rating #$&*: not very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `qQuery 3.3.60 truth table for (p ^ q) -> (p U q)

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

p, q ,(p^q), (pUq), (p^q)->(pUq)

T T T T T

T F F T T

F T F T T

F F F F T

confidence rating #$&*: not very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

"

Self-critique (if necessary):

------------------------------------------------

Self-critique rating:

#*&!

Assignment 33

#$&*

course mth 151

014. Truth Tables

*********************************************

Question: `q001. There are 8 questions in this set.

If each of the propositions p and q can be either true or false, what

combinations of truth values are possible for the two propositions (e.g., one

possibility is that p is false and q is true; list the other possibilities)?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

P Q

T T

T F

F F

F T

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q002. For each of the possibilities TT, TF, FT and FF, what is

the truth value of the compound statement p ^ q ?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: statemment means both p and q must be true

TT is true

TF is fales

FT is false

FF is false

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q003. Write the results of the preceding problem in the form of a

truth table.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

p q p^q

T T T

T F F

F T F

F F F

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q004. For each of the possible combinations TT, TF, FT, FF, what is

the truth value of the proposition p ^ ~q?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: statement mean p is true and q is false

TT is false

TF is true

FT is false

FF is false

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q005. Give the results of the preceding question in the form of a

truth table.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

p q ~q p^~q

T T F F

T F T T

F T F F

F F T F

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q006. Give the truth table for the proposition p U q, where U stands

for disjunction.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

p q p or q

T T T

T F T

F T T

F F F

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q007. Reason out the truth values of the proposition ~(pU~q).

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

p q ~p ~q (~p or ~Q)

T T F F F

T F F T F

F T F T T

F F T T T

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q008. Construct a truth table for the proposition of the preceding

question.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

p q ~q ~p pU~q ~(pU~q)

T T F F T F

T F T F T F

F T F F F T

F F T T T F

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

===============================================================================================

014. `query 14

*********************************************

Question: `q3.3.5 rewrite using if then ' all marines love boot camp

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: if it is a marine, then it loves boot camp

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q3.3.18 ~p false q false p -> q true

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: this is true

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `qQuery 3.3.36 write in symbols 'If we don't bike, then it does not

rain.'

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: p = dont bike; q = doesn't rain

p==>q

confidence rating #$&*: very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `qQuery 3.3.48 q true, p and r false, evaluate (-r U p) -> p

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: this is false

first part is true and second part is falstsse ==> statement is false

confidence rating #$&*: not very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `qQuery 3.3.60 truth table for (p ^ q) -> (p U q)

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

p, q ,(p^q), (pUq), (p^q)->(pUq)

T T T T T

T F F T T

F T F T T

F F F F T

confidence rating #$&*: not very confident

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

"

Self-critique (if necessary):

------------------------------------------------

Self-critique rating:

#*&!#*&!

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