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Sets and Subsets1. Determine the number of distinct sets and

    Sets and Subsets1. Determine the number of distinct sets and the number of proper subsets for each of the following:a. (x1x and 2 < x < 6)b. (2,4.6.8)2. In a group of 100 customers at Pizza Inn, 80 of them ordered peppers on their pizza and 72 of them ordered sausage, 60 customers ordered both peppers and sausage on their pizza. Given this information, answer the following questions. (Hint: use a Venn Diagram)a. How many customers ordered peppers but no sausage?b. How many customers ordered sausage but no peppers?c. How many customers ordered neither peppers nor sausage on their pizzas?3. Give the cardinality of:a. The set of all the world’s oceans.b. Set A = (1,3,4,5,6,7,11,12,13)Requirements of the paper:Show all work Make sure final answer is clear and visable.

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