Question

What is the interval notation for x€ R, -2<x<6​

Answer 1

`\large\boxed{\{x|x\in\mathbb{R},\ -2<x<6\}\to x\in(-2,\ 6)}`

Explanation:

look at the picture

`x<a\to x\in(-\infty,\ a)\\\\x\leq a\to x\in(-\infty,\ a]\\\\x>a\to x\in(a,\ \infty)\\\\x\geq a\to x\in[a,\ \infty)\\\\a<x<b\to x\in(a,\ b)\\\\a\leq x<b\to x\in[a,\ b)\\\\a<x\leq b\to x\in(a,\ b]\\\\a\leq x\leq b\to x\in[a,\ b]`