Write the propositions symbolically by letting: V: Robert eats vegetables D: Robert is on a diet H: Robert is healthy 1. Robert eats vegetables and he is not on a diet Robert eats vegetables only if he is on a diet 2. 3. The fact that Robert is not healthy is necessary for him to be on a diet 4. Robert eats vegetables if and only if he is on a diet 5. If Robert eats vegetables, then it is not true that, either Robert is not healthy or he is on a diet

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