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Symbols and Truth Values Let j represent _July is a warm month._ (True)
Let d represent _I am busy every day._ (False)
Let g represent _I work in my garden._ (True)
Let f represent _I like flowers._ (True)

For each compound statement in symbolic form: a. Write a complete sentence in words to show what the symbols represent. b. Tell whether the compound statement is true or false.

a. j -> g
b. d -> ~g
c. f -> g
d. ~g -> ~j
e. (j _ f) -> d
f. (j _ g) -> f

 Oct 29, 2020
 #1
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Symbols and Truth Values Let j represent _July is a warm month._ (True)
Let d represent _I am busy every day._ (False)
Let g represent _I work in my garden._ (True)
Let f represent _I like flowers._ (True)

 

j = July is a warm month
d = I am NOT busy every day.
g =I work in my garden.
f =I like flowers.



For each compound statement in symbolic form: a. Write a complete sentence in words to show what the symbols represent. b. Tell whether the compound statement is true or false.

 

I am not sure about your notation but this is my assumptions

a. j -> g               July is a warm month so I work in my garden
b. d -> ~g            I am not busy every day so I do NOT work in my garden
c. f -> g                I like flowers so I work in my garden
d. ~g -> ~j            I do NOT work in my garden so I do NOT like flowers.

e. (j _ f) -> d
f. (j _ g) -> f

 

Maybe 'so' can or should be replaces with some other word, like because, or hence ... 

You will have to tell me what the underscore symbol means.

 Oct 29, 2020

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