-1:[ | Let P, Q, R and S be the propositions: P: "Ahmad comes to the party", Q: "Salim comes to the party", R: “Khalid comes to the party", S: "Bader comes to the party". Write the following propositions using P, Q, R, S and logical connectives: a) "Nether Ahmad nor Salim come to the party". b) "If Bader comes to the party, then Salim and Khalid come too". c) “Khalid comes to the party only if Ahmad and Salim do not come". d) "Bader comes to the party if and only if Khalid comes and Ahmad doesn't come". e) "If Bader comes to the party, then, if Khalid doesn't come then Ahmad comes". f) "Khalid comes to the party provided that Bader doesn't come, but, if Bader comes, then Salim doesn't come". g) "A necessary condition for Ahmad coming to the party is that, if Salim and Khalid aren't coming, Bader comes". h) "Ahmad, Salim and Khalid come to the party if and only if Bader doesn't come, but, if neither Ahmad nor Salim come, then Bader comes only if Khalid comes".
-1:[ | Let P, Q, R and S be the propositions: P: "Ahmad comes to the party", Q: "Salim comes to the party", R: “Khalid comes to the party", S: "Bader comes to the party". Write the following propositions using P, Q, R, S and logical connectives: a) "Nether Ahmad nor Salim come to the party". b) "If Bader comes to the party, then Salim and Khalid come too". c) “Khalid comes to the party only if Ahmad and Salim do not come". d) "Bader comes to the party if and only if Khalid comes and Ahmad doesn't come". e) "If Bader comes to the party, then, if Khalid doesn't come then Ahmad comes". f) "Khalid comes to the party provided that Bader doesn't come, but, if Bader comes, then Salim doesn't come". g) "A necessary condition for Ahmad coming to the party is that, if Salim and Khalid aren't coming, Bader comes". h) "Ahmad, Salim and Khalid come to the party if and only if Bader doesn't come, but, if neither Ahmad nor Salim come, then Bader comes only if Khalid comes".
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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Please solve them all
![] Let P, Q, R and S be the propositions:
Q–1:[
P: “Ahmad comes to the party",
Q: "Salim comes to the party",
R: "Khalid comes to the party",
S: "Bader comes to the party".
Write the following propositions using P, Q, R, S and logical connectives:
a) "Nether Ahmad nor Salim come to the party".
b) "If Bader comes to the party, then Salim and Khalid come too".
c) "Khalid comes to the party only if Ahmad and Salim do not come".
d) "Bader comes to the party if and only if Khalid comes and Ahmad doesn't
come".
e) "If Bader comes to the party, then, if Khalid doesn't come then Ahmad
comes".
f) "Khalid comes to the party provided that Bader doesn't come, but, if Bader
comes, then Salim doesn't come".
g) "A necessary condition for Ahmad coming to the party is that, if Salim and
Khalid aren't coming, Bader comes".
h) "Ahmad, Salim and Khalid come to the party if and only if Bader doesn't
come, but, if neither Ahmad nor Salim come, then Bader comes only if
Khalid comes".](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6070e5ff-b50b-42b1-b026-34493c0e6a27%2Fe10a889f-62d3-4a9b-8e11-acdf4ba94287%2Fq5r1lc5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:] Let P, Q, R and S be the propositions:
Q–1:[
P: “Ahmad comes to the party",
Q: "Salim comes to the party",
R: "Khalid comes to the party",
S: "Bader comes to the party".
Write the following propositions using P, Q, R, S and logical connectives:
a) "Nether Ahmad nor Salim come to the party".
b) "If Bader comes to the party, then Salim and Khalid come too".
c) "Khalid comes to the party only if Ahmad and Salim do not come".
d) "Bader comes to the party if and only if Khalid comes and Ahmad doesn't
come".
e) "If Bader comes to the party, then, if Khalid doesn't come then Ahmad
comes".
f) "Khalid comes to the party provided that Bader doesn't come, but, if Bader
comes, then Salim doesn't come".
g) "A necessary condition for Ahmad coming to the party is that, if Salim and
Khalid aren't coming, Bader comes".
h) "Ahmad, Salim and Khalid come to the party if and only if Bader doesn't
come, but, if neither Ahmad nor Salim come, then Bader comes only if
Khalid comes".
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