## Thinking Mathematically (6th Edition)

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RECALL: $A = B$ if and only if the elements of A and B are exactly the same. $N$ is the set of natural or counting numbers. This set contains the numbers $1, 2, 3, ...$ Thus, the set on the left is equivalent to: $\left\{8, 9, 10, ...99, 100, 101, ...\right\}$ This set contains an infinite number of elements. The set on the right contains the counting numbers from 8 to 100 only. Thus, the two sets are not equal.