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How can this English sentence be translated into a logical expression? “You cannot ride the roller coaster if you are under 4 feet tall unless you are older than 16 years old” where
q: roller coaster
r: under 4 feet tall
s: older than 16 years old

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$(r \land (~ s)) \Rightarrow (~ q)$

$(r \land s) \land (~ q)$

$(r \Rightarrow (~ s)) \Rightarrow q$

$(r \land (~ s)) \lor (~ q)$

answer is B.

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Detailed Solution

q roller coaster
r under 4 feet tall
s older than 16 years old
$(r \land (~ s)) \Rightarrow (~ q)$

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