In Exercise, use the following: p: I am awake; q: I work hard; r: I dream of home.
Exercise
Write each of the following statements in terms of p, q, r, and logical connectives.
(a) I am awake implies that I work hard.
(b) I dream of home only if I am awake.
(c) Working hard is sufficient for me to be awake.
(d) Being awake is necessary for me not to dream of home.
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