Question

How do you solve the inequality `-4 < 2 + x <1`?

Answer 1

`x in (-6,-1)`

Explanation:

Add `-2` to each term

`-4-2 < 2-2+x < 1-2` or

`-6 < x < -1` so

`x in (-6,-1)`

Answer 2

`-6< x < -1`

Explanation:

`"Isolate x in the middle interval by subtracting 2 from all 3"`
`"intervals"`

`-4color(red)(-2)< cancel(2)cancel(color(red)(-2))+x<1color(red)(-2)`

`rArr-6 < x < -1`