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 not awake if and only if I dream of home.
(b) If I dream of home, then I am awake and I work hard.
(c) I do not work hard only if I am awake and I do not dream of home.
(d) Not being awake and dreaming of home is sufficient for me to work hard.
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