Question

How do you solve `-2<x+2<5`?

Answer 1

See a solution process below

Explanation:

`-2 < x + 2 < 5`

Cross `2` to the right hand side..

`-2 < x < 5 - 2`

`-2 < x < 3`

Hence;

`x < 3`

The statement above indicates that `x` is less than `3`

`-2 < x or x > -2`

The statement above means that `-2` is less than `x or x` is greater than `-2`

Answer 2

`x in(-4,3)`

Explanation:

`"subtract 2 from each interval"`

`-2color(red)(-2)< xcancel(+2)cancel(color(red)(-2))< 5color(red)(-2)`

`rArr-4< x <3`

`rArrx in(-4,3)larrcolor(blue)"in interval notation"`