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Question

For the question, express each of these compound statements in words:

a.pqb.¬pqc.p¬qd.¬p¬qe.¬(pq)\begin{array}{ccccccccccccc}{\mathbf{a.}} {p \wedge q} & {\mathbf{b.}} {\neg p \wedge q} & {\mathbf{c.}} {p \wedge \neg q} & {\mathbf{d.}} {\neg p \wedge \neg q} & {} & {\mathbf{e.}} {\neg(p \wedge q)}\end{array}

p :ABCD is a parallelogram. q: ABCD is a rectangle. Which of the statements a to e cannot possibly be true in this case?

Solution

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The goal of this task is to write the statements pp and qq as compound statements following the given type of conjunctions in aa to ee.

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