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Explanation:
Let x be the length in meters, such that, when we round x to the nearest tenth then we get 4.7 meters.
The original unrounded value of x is restricted by this inequality [tex]4.65 \le x < 4.75[/tex]
Notice how 4.65 rounds to 4.7, which is why we include it as part of the possible values for x.
On the other hand, the 4.75 doesn't round to 4.7; so we exclude this endpoint. There is technically no largest x value because we could have the following x values
and so on. Each of those items rounds to 4.7; so those are examples that we don't have a largest possible x. Luckily, there is a smallest possible x value and it is x = 4.65
