Let D(z) be "z is a day", S(r) be "r is sunny", R(1) be "z is rainy", M be "Monday", and Th "Tuesday". Using these predicate symbols and appropriate quantifiers, write each English languag statement as a predicate wff. Note: The domain is the whole world. (a) Some days are sunny and rainy. (b) No day is both sunny and rainy. (c) It is always a sunny day only if it is a rainy day. (d) No day is sunny. (e) Monday was sunny; therefore every day will be sunny. (f) It rained both Monday and Tuesday. (g) If some day is rainy, then every day will be sunny.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let D(z) be "z is a day", S(r) be "r is sunny", R(r) be "x is rainy", M be "Monday", and I be
"Tuesday". Using these predicate symbols and appropriate quantifiers, write each English language
statement as a predicate wff. Note: The domain is the whole world.
(a) Some days are sunny and rainy.
(b) No day is both sunny and rainy.
(c) It is always a sunny day only if it is a rainy day.
(d) No day is sunny.
(e) Monday was sunny; therefore every day will be sunny.
(f) It rained both Monday and Tuesday.
(g) If some day is rainy, then every day will be sunny.
Transcribed Image Text:Let D(z) be "z is a day", S(r) be "r is sunny", R(r) be "x is rainy", M be "Monday", and I be "Tuesday". Using these predicate symbols and appropriate quantifiers, write each English language statement as a predicate wff. Note: The domain is the whole world. (a) Some days are sunny and rainy. (b) No day is both sunny and rainy. (c) It is always a sunny day only if it is a rainy day. (d) No day is sunny. (e) Monday was sunny; therefore every day will be sunny. (f) It rained both Monday and Tuesday. (g) If some day is rainy, then every day will be sunny.
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