Question 204777
To solve  an  inequality,  first  identify  the  line separating  the  regions.
.
The  line  is  solid  if  equalities (<= or >=) are  involved,,,dashed  if  just  inequalities(<  or  >).
.
Now,  to  pick  which  side  of  the  line  is  the  "area  of  interest" we  chose a  test  point.  It  can  be  any  point  in  the  region.  Usually  we  pick  one  that  makes  for  easy  math,,like  (0,0)  or  (1,1),,,,however  any  point  will  do,  on  either  side  of  the  line.
.
Just  substitute  in  the  original inequality. If  the  resulting  statement  is  true,,that  side  is  the  area  of  concern.  If  not,  the  other  side  is.  (no  need  to  pick  another  point  on  the  other  side of  the  line)
.
for  example,,,if  y >= 2x+2,,let (0,0)  be  test  point,,,result  is 0>=2,,,This  is  not  true,  so  area  of  concern  is  on  the  other  side  of  the  line.
.
If  we  checked,,,(0,3),,,(which  is  on the  other  side  of  the  line),
result  is,,,,3>= 2,,,which  is  true,  and  now  this  side  does  define  the  area  of  concern.
.
Please  try  it  on  several  easy  problem,  until  you  have confidence.
,
Have  a  good  day