Whether to use AND or OR in describing an inequality My understanding is that the following: 
$5 < x < 10$  is read as "x is greater than 5 AND less than 10,"
whereas the solution to $| x + 2 | > 4$, 
which is $x > 2, x < -6$, should be read as "x is greater than 2 OR less than -6"
Am I using this correctly? I'm wondering because while teaching some kids, I realized that Khan Academy doesn't seem to be using this correctly and I was doubting whether I was using them correctly. 
Thanks in advance for the help.

In the first case, there are two inequalities and the value of x satisfying both the inequalities is the intersection of the sets satisfying each
inequality i.e.
$$x<5 \implies x\in (-\infty,5)$$
$$x>10 \implies x\in (10,\infty)$$
$$5<x<10 \implies x\in(-\infty,5)\cap(5,\infty)$$
That's why we use "AND".
In the second case, we use union i.e.
$$x+2>4 \implies x\in(2,\infty)$$
$$x+2<-4 \implies x\in(-\infty,-6)$$
$$|x+2|<4 \implies x\in (2,\infty) \cup (-\infty,-6)$$
That's why we use "OR"
