Symbolize the following sentences in SL Use the following symbolization key A: Albert lives happily B: Bob lives happily C: Carol lives happily H: Albert is healthy E: Bob is easygoing. W: Carol is a social worker. Assuming Carol is not a social worker, she lives happily if and only if Albert and Bob both live happily. If Albert is healthy and Bob is not easygoing and Carol is a social worker, then all live happily. If Albert lives happily if Bob does, then Albert is healthy and Bob is

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.3: Solving Problems Involving Inequalities
Problem 27E
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1. Symbolize the following sentences in SL Use the following
symbolization key
A: Albert lives happily
B: Bob lives happily
C: Carol lives happily
H: Albert is healthy
E: Bob is easygoing.
W: Carol is a social worker.
a) Assuming Carol is not a social worker, she lives happily if and only if
Albert and Bob both live happily.
b) If Albert is healthy and Bob is not easygoing and Carol is a social
worker, then all live happily.
-) If Albert lives happily if Bob does, then Albert is healthy and Bob is
not easygoing.
d) Bob lives happily unless he is easygoing.
e) If Carol lives happily if either Albert or Bob does, then Carol is a social
worker and Albert is healthy.
Transcribed Image Text:1. Symbolize the following sentences in SL Use the following symbolization key A: Albert lives happily B: Bob lives happily C: Carol lives happily H: Albert is healthy E: Bob is easygoing. W: Carol is a social worker. a) Assuming Carol is not a social worker, she lives happily if and only if Albert and Bob both live happily. b) If Albert is healthy and Bob is not easygoing and Carol is a social worker, then all live happily. -) If Albert lives happily if Bob does, then Albert is healthy and Bob is not easygoing. d) Bob lives happily unless he is easygoing. e) If Carol lives happily if either Albert or Bob does, then Carol is a social worker and Albert is healthy.
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