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1) Construct a truth table and determine the truth value of the statement ~ q = { ~r ^ ( p v q) }, when p is false, q is true and r is true.
2) Use De Morgan's Laws to determine whether the two statements are equivalent. ~( p ^ q), ~(q v ~p)
3) Determine which, if any of the three statements are equivalent.
a) If today is Monday, then tomorrow is not Wednesday
b) It is false that today is Monday and tomorrow is not Wednesday
c) today is not Monday or tomorrow is Wednesday.
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Solve the given triangle.
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An integer is called squarefree if it is not divisible by the square of a positive integer greater than 1. Find the number of squarefree positive integers less than 100.
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