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write the converse the contrapositive and usefull negation for the following a)

ID: 3078652 • Letter: W

Question

write the converse the contrapositive and usefull negation for the following a) If George drives his car to campus, then he arrives on time for class. b) George is on time for class only if he drives his car to campus. c)George drives his car to campus, but he does not arrive on time for class d) George does not arrive on time for class unless he drives his car to campus e) Driving his car to campus is necessary for George to arrive on time for class. f) Driving his car to campus is sufficient for George to arrive on time for class g) George arrives on time for class if and only if he drives his car to campus. h) If George does not drive his car to campus, then he does not arrive on time for class

Explanation / Answer

A->B is same as ~A or B George drives car -> arrive on time ~drive or arrive on time negation of this is drive and not arrive ie. George drives his car to campus but does not arrive on time for class similarly do b and c, check answer from below. b)George is on time for class but did not dive his car to the campus c)If George drives his car to campus, then he arrives on time for class.