Question 198514
Usually  use  graphics  to  solve  inequalities.  Let's  use  a  rough  sketch
.
y> x-2,,,,,,,has  T  box,,,,X,,,,,,,,,Y
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,0,,,,,,,,,-2
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,2,,,,,,,,,0
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,1,,,,,,,,,-1
test  point (0,0),,0>-2,  ok,,,use  this  side
.
3x+y >2,,,,,has  a  T Box,,,,X,,,,,,,,Y
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 0,,,,,,,2
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,2/3,,,0
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,1,,,,,-1
Test  point  (0,0)  0>2,  no,,  use  other  side
.
Now,  draw  a  rough  sketch, dotted  lines  only,  as  full  inequality
.
Intersection  is  at  (1,-1)
.
Area  of  concern  is  above positive  line,  and  to  right  of  negative  line.