SOLUTION: SOLVE EACH INEQUALITY. GIVE THE SOLUTION SET IN BOTH INTERVAL NOTATION AND GRAPH FORM. -(4+R)+2-3R<-14

Algebra ->  Inequalities -> SOLUTION: SOLVE EACH INEQUALITY. GIVE THE SOLUTION SET IN BOTH INTERVAL NOTATION AND GRAPH FORM. -(4+R)+2-3R<-14      Log On


   



Question 84038: SOLVE EACH INEQUALITY. GIVE THE SOLUTION SET IN BOTH INTERVAL NOTATION AND GRAPH FORM.
-(4+R)+2-3R<-14

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

SOLVE EACH INEQUALITY. GIVE THE SOLUTION SET 
IN BOTH INTERVAL NOTATION AND GRAPH FORM.

-(4 + R) + 2 - 3R < -14

  -4 - R + 2 - 3R < -14

          -2 - 4R < -14

              -4R < -14 + 2

              -4R < -12

Now we divide through by -4, remembering
that since it is a negative number we
are dividing both sides by, that we
must change the "<" to ">".

           %28-4R%29%2F%28-4%29 > %28-12%29%2F%28-4%29

                R > 3

The graph is like this:

  ----------------------------o==================>
  -6 -5 -4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9 

The interval notation is the abbreviation for this 
graph:

                              (3, infinity)

Edwin