Using the predicate symbols shown and appropriate quantifiers, write each English language statement as a predicate wff. (The domain is the whole world.)D(x): x is a dayS(x): x is sunnyR(x): x is rainyM: MondayT: Tuesdaya. All days are sunny.b. Some days are not rainy.c. Every day that is sunny is not rainy.d. Some days are sunny and rainy. e. No day is both sunny and rainy.f. It is always a sunny day only if it is a rainy day.g. No day is sunny.h. Monday was sunny; therefore, every day will be sunny.i. It rained both Monday and Tuesday.j. If some day is rainy, then every day will be sunny.
Using the predicate symbols shown and appropriate quantifiers, write each English language statement as a predicate wff. (The domain is the whole world.)D(x): x is a dayS(x): x is sunnyR(x): x is rainyM: MondayT: Tuesdaya. All days are sunny.b. Some days are not rainy.c. Every day that is sunny is not rainy.d. Some days are sunny and rainy. e. No day is both sunny and rainy.f. It is always a sunny day only if it is a rainy day.g. No day is sunny.h. Monday was sunny; therefore, every day will be sunny.i. It rained both Monday and Tuesday.j. If some day is rainy, then every day will be sunny.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Using the predicate symbols shown and appropriate quantifiers, write each English language statement as a predicate wff. (The domain is the whole world.)
D(x): x is a day
S(x): x is sunny
R(x): x is rainy
M: Monday
T: Tuesday
a. All days are sunny.
b. Some days are not rainy.
c. Every day that is sunny is not rainy.
d. Some days are sunny and rainy. e. No day is both sunny and rainy.
f. It is always a sunny day only if it is a rainy day.
g. No day is sunny.
h. Monday was sunny; therefore, every day will be sunny.
i. It rained both Monday and Tuesday.
j. If some day is rainy, then every day will be sunny.
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