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Can someone explain why these are different on the graph line?

Can someone explain why these are different on the graph line?-example-1
User KevinAlbs
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1 Answer

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Explanation:

typically, we use the curved parentheses the denote an open interval, so we don't include the extreme values.

for example, the interval (1, 2) will not include 1 and 2. think of it as using the < and > symbols.

on the other hand, we have the boxed parentheses which denote a closed interval, which includes the extreme values.

so, for example [1, 2] would include 1 and 2. think of it as using


\leqslant and \geqslant

signs.

in fact, we can use these signs to explain the intervals better:


(a, b) \implies a < x < b\\ [a, b] \implies a \leq x \leq b

personally, I've seen people use black dots to denote closed intervals and white dots to denote open intervals more often, they mean the same.

User Yani
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