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Construct a truth table for each of the following compound propositions. a ) p ? ? notp b ) ( p v v n o
Construct a truth table for each of the following compound propositions.
anotp
b
cnotp
Write each of the following statements in the form if then in English. Hint: Refer to the list of common ways to express implications listed in this section.
a The newspaper will not come if there is an inch of snow on the street.
b It snows whenever the wind blows from the northeast.
c That prices go up implies that supply will be plentiful.
d It is necessary to read the textbook to understand the materials of this course.
e For a number to be divisible by it is sufficient that it is the sum of three consecutive integers.
f Your guarantee is good only if you bought your TV less than days ago.
Write each of the following propositions in the form if and only if in English.
a If it is hot outside you drink a lot of water, and if you drink a lot of water it is hot outside.
b For a program to be readable it is necessary and sufficient that it is well structured.
C I like fruits only if they are fresh, and fruits are fresh only if I like them.
d If you eat too much sweets your teeth will decay, and conversely.
e The store is closed on exactly those days when I want to shop there.
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