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# Interval Notation

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How do you do interval notation?

Jun 22, 2019

### 4+0 Answers

#1
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$$x\in (a, b)\implies a < x < b\\ x \in (a, b] \implies a < x \le b\\ x \in [a, b) \implies a \le x < b\\ x \in [a,b] \implies a \le x \le b$$

$$\cup\text{ means or}\\ \cap\text{ means and}$$

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Jun 22, 2019
#2
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arnt those things union and intersection?

CuteDramione  Jun 22, 2019
#3
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Yes. Glad you know these.

The union of few intervals means that x satisfies any of them, so it means "or".

The intersection of few intervals means that x must satisfy all of them, so it means "and".

MaxWong  Jun 22, 2019
#4
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:O that is a mouthful

CuteDramione  Jun 22, 2019