a) d Describe at least five different ways to write the conditional statement p ? q in English.________________b) Define the converse and contrapositive of a conditional statement.________________c) Stale the converse and the contrapositive of the conditional statement "If it is sunny tomorrow, then I will go for a walk in the woods."
Solution: Step 1 : a) five different ways to write conditional statement is 1, if p then q2, p implies q3, p is sufficient for q4, not p or q5, q follow from p Step 2 : b) 1, statement : if p then q converse : if q then p Contrapositive : if not p then not q 2, statement : p implies q converse : q implies p contrapositive : not p implies not q3, statement : p is sufficient for q Converse : q is sufficient for q Contrapositive : not p is sufficient for not q 4, statement : not p or q converse : not q or p contrapositive : p or q 5, statement : q follows from p converse : p follows from q contrapositive : not q follows from not p
