Question

How do you solve the compound inequality `4<2y-2<10`?

Answer 1

`3< y<6`

Explanation:

`"isolate "2y" by adding 2 to each of the 3 intervals"`

`4color(red)(+2)< 2ycancel(-2)cancel(color(red)(+2))<10color(red)(+2)`

`rArr6< 2y<12`

`"divide each interval by 2"`

`rArr3 < y<6`

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