SOLUTION: solve the inequality state the solution set in interval notation and sketch its graph 1/6 – 1/3t>0

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Question 83524: solve the inequality state the solution set in interval notation and sketch its graph
1/6 – 1/3t>0
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!


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

                              1%2F6 – 1%2F3t > 0

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

                         6%281%2F6%29 – 6%281%2F3%29t > 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:

                            %28-2t%29%2F%28-2%29 < %28-1%29%2F%28-2%29

                                  t < 1%2F2

The number line graph is:

                     <===================o------------
                      -2     -1      0   1%2F2   1       2
    
The interval notation is an abbreviation for the graph:

                              (-infinity, 1%2F2) 

Edwin