Given an inequality, you can
- add the same amount to both sides
- divide both sides by any amount greater than zero
without effecting the validity or orientation of the inequality
1<3x−2≤10
can be split into two inequalities
1<3x−2
XXX→3<3x
XXX→1<x
and
3x−2≤10
XXX→3x≤12
XXX→x≤4