**Solve linear inequalities with three parts**

** **

For some applications, it is necessary to work with an inequality such as

3 < *x *+ 2 < 8,

where *x *+ 2 is *between *3 and 8. To solve this inequality, we subtract 2 from

each of the three parts of the inequality, giving

3 – **2 **< *x *+ 2 – **2 **< 8 – **2**

1 < *x *< 6.