Using the letters indicated for the component statements, translate the followin

Question

Using the letters indicated for the component statements, translate the following compound statements into symbolic notation. a. A: the tractor wins: B: the truck wins: C: the race will be exciting. Whether the tractor wins or the truck wins, the race will be exciting b. A: snow: B: rain: C: yesterday was cloudy Yesterday was cloudy but there was neither snow nor rain. c. A: Koalas will be saved: B: climate change is addressed: C: rising water levels Koalas will be saved only if climate change is addressed: furthermore, failure to address climate change will cause rising water levels. d. A: the city's economy will improve: B: a strong school system The city's economy will improve conditional upon a strong school system. e. A: the city's economy will improve: B: a strong school system A strong school system is a necessary condition for the city's economy to improve.

Explanation / Answer

ANSWER

a)

The given compound statement : " Whether the tractor wins or the truck wins, the race will be exciting"

Denoted by :

A: the tractor wins;    B: the truck wins;      C: the race will be exciting

Then compound statement in to symbolic notation as

( A V B ) C

b) The given compound statement : "Yesterday was cloudy but there was neither snow nor rain"

Denoted by :

A: snow;      B: rain;         C: yesterday was cloudy

Then compound statement in to symbolic notation as

C [ ¬ A V ¬ B ]

c) The given compound statement : "Koalas will be saved only if climate change is addressed; furthermore, failure to address climate change will cause rising water levels" .

Denoted by :

A: Koalas will be saved;         B: climate change is addressed;        C: rising water levels

Then compound statement in to symbolic notation as

( B A ) ( ¬ B C )

d) The given compound statement : "The city's economy will improve conditional upon a strong school system".

Denoted by :

A: the city's economy will improve; B: a strong school system

Then compound statement in to symbolic notation as

A B.

e). The given compound statement : "A strong school system is a necessary condition for the city's economy to improve ".

Denoted by :

A: the city's economy will improve; B:a strong school system

Then compound statement in to symbolic notation as

B A

THANK YOU.

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