What you must do for this case is to solve both inequalities
We have then:
4x + 2> 14
We clear x:
4x + 2> 14
x> (14-2) / 4
x> 3
-21x + 1> 22
We clear x:
-21x> 22-1
x <-21/21
x <-1
Therefore we have to
For 4x + 2> 14
x belongs (3, inf)
For -21x + 1> 22
x belongs (-inf, -1)
The solution that is met for both inequalities is:
x belongs (-inf, -1) U (3, inf)
