Question 100719: 
Found 3 solutions by edjones, jim_thompson5910, oberobic:
Answer by edjones(8007)   (Show Source):
Answer by jim_thompson5910(35256)  (Show Source):
Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! Begin with .
To solve, you can start with the equivalent equation:
Multiplying to remove the parentheses:
Subtracting 5x from both sides:
Adding 21 to both sides:
 , so
 , which may be stated as  if you wanted.
Now we return to the original inequality, and see that our answer is  .
Returning to the original equation, we can check a few values.
Check , where x = 3. This results in the assertion 0 > 1, which is false. So the value x = 3 does not work, as we expect.
Check , where x = 4. This results in the assertion 7 > 6, which is true, as we expected given we think the solution is x > 7/2.
Check , where x = 2. This results in the assertion -7 > -4, which is false. So the value x = 2 does not work, as we expect.
Check , where x = 5. This results in the assertion 14 > 9, which is true. So the value x = 5 works, as we expect.
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