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****** Please show all work. Thank you.********** Let p and q be the proposition

ID: 3845659 • Letter: #

Question

****** Please show all work. Thank you.**********

Let p and q be the propositions. p: we are going to make a cheaper phone: q: we are going to lose business. Translate the following into symbolic form. (a) If we make a cheaper phone, then we will lose business. (b) If we lose business, then we will make a cheaper phone. (c) We will lose business if and only if we make a cheaper phone. (d) If we lose business, then we will not make a cheaper phone. (e) It is not the case that we will lose business if and only if we do not make a cheaper phone.,

Explanation / Answer

p:we are going to make a cheaper phone

q: we are going to loose buisness

(a) p =>q

(b) q =>p

(c) q <=> p

(d) q => ~p

(e) ~q <=> ~p