If p, q, r and s are four simple statements, such asp: The school bus will comeq: I go to schoolr: I shall meet my friends s : I shall go out for a movie,then the compound statement, 'If the school bus does not come or I l will not go to school, then I shallmeet my friend and go out for a movie. is "represented by
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a
~(p∧q)⇒(r∧s)
b
~(p∧~q)⇒(r∧s)
c
~(p˙∧q)⇒(r∨s)
d
None of these
answer is A.
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Detailed Solution
(If the school bus does not come) v (I will not go to school)→ (I shall meet my friend) ^ (I shall go out for a movie) ⇒ (~p)∨(~q)⇒(r∧s)⇒ ~(p∧q)⇒(r∧s) (De-Morgan's Laws)