MATH 1100 Chapter : HW 08
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Before the start of a dog-obedience class the owners are standing around and the dogs are romping together wildly. The correct answer is: wait until the class begins, which starts with each dog lining up directly to the left its owner. Then you can easily see if there is a match between the set of dogs and the set of owners. Without counting, show that there are just as many whole numbers between 1,127 and 2,428 as there are between 1,125 and 2,426. Select one: this can"t be done without counting, subtract! Since 2,428-1,127 = 1,301 and 2,426-1,125 = 1,301, they are the same: add! The correct answer is: by adding 2 to each element in the set of whole numbers from 1,125 to 2,426 we match that set with the set of whole numbers between 1,127 and 2,428. So these two sets have the same number of elements. Fifteen students in a class are doing math problems.