Write each of these propositions in the form "pif and only if q' in English. a) If it is hot outside you buy an ice cream cone, and if you buy an ice cream cone it is hot outside. b) For you to win the contest it is necessary and sufficient that you have the only winning ticket. d) You get promoted only if you have connections, and you have connections only if you get promoted. e)If you watch television your mind will decay, and conversely, .) The trains run late on exactly those days when I take it