You must know the basics! If you are really desperate in how to learn that one! Then, listen to me!
Example: If you are asked by your teacher to solve this:
2x-1<3x
REMEMBER: Just transpose them and transpose them! if a number goes to the other side one time, then it's sign is changed.
2x-1<3x
-1<3x-2x
See! the term "2x" became "-2x" after transferring it to the other side! Use your knowldege of Algebra after!
-1<3x-2x
-1<1x
-1<x
x>-1
Finish!
Check:
2x-1<3x
Take the number 2 as x for example for it is greater than -1.
2(2)-1<3(2)
4-1<6
3<6, TRUE!!!
So that is how to solve linear inequalities!