Question

Solve the inequality 8 < 12 + c < 12

Answer 1

Separate the inequalities by part.

`8<12+c\\12+c<12`

We'll do 8 < 12+c first then 12+c<12 next.

`8-12<c\\-4<c\\c>-4`

Then 12+c<12

`12+c<12\\c<12-12\\c<0`

Then mix c<0 and c>-4 as we'll get
`-4<c<0` #