solve the inequality state the solution set in interval 
notation and sketch its graph 

                               – t > 0

Clear of fractions by multiplying every term by the LCD of 6:

                         6 – 6t > 6(0)

                               1 - 2t > 0

Subtract 1 fro both sides:

                               1 - 2t >  0
                              -1        -1  
                            ----------------
                                  -2t > -1

Divide both sides by -2, remembering to switch the order of
the inequality symbol because we are dividing by a negative
number:

                             < 

                                  t < 

The number line graph is:

                     <===================o------------
                      -2     -1      0      1       2
    
The interval notation is an abbreviation for the graph:

                              (, ) 

Edwin