Question

How do you solve `14> - 2x + 2> - 4`?

Answer 1

`x in (-6,3)`

Explanation:

`"subtract 2 from each interval"`

`14color(red)(-2)> -2xcancel(+2)cancel(color(red)(-2))> -4color(red)(-2)`

`rArr12> -2x > -6`

`"divide all 3 intervals by "-2`

`color(red)"Remembering to reverse the inequality signs"`

`rArr-6 < x < 3`

`x in (-6,3)larrcolor(blue)"in interval notation"`