Answer:   c > 12
Step-by-step explanation:tep  1  :
            c
 Simplify   —
            3
Equation at the end of step  1  :
        c            
  ((2 • —) -  1) -  7  > 0  
        3            
Step  2  :
Rewriting the whole as an Equivalent Fraction :
 2.1   Subtracting a whole from a fraction
Rewrite the whole as a fraction using  3  as the denominator :
         1     1 • 3
    1 =  —  =  —————
         1       3  
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
 2.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
 2c - (3)     2c - 3
 ————————  =  ——————
    3           3    
Equation at the end of step  2  :
  (2c - 3)    
  ———————— -  7  > 0  
     3        
Step  3  :
Rewriting the whole as an Equivalent Fraction :
 3.1   Subtracting a whole from a fraction
Rewrite the whole as a fraction using  3  as the denominator :
         7     7 • 3
    7 =  —  =  —————
         1       3  
Adding fractions that have a common denominator :
 3.2       Adding up the two equivalent fractions
 (2c-3) - (7 • 3)     2c - 24
 ————————————————  =  ———————
        3                3    
Step  4  :
Pulling out like terms :
 4.1     Pull out like factors :
   2c - 24  =   2 • (c - 12)  
Equation at the end of step  4  :
  2 • (c - 12)
  ————————————  > 0  
       3      
Step  5  :
 5.1    Multiply both sides by  3  
 5.2    Divide both sides by  2  
Solve Basic Inequality :
 5.3      Add  12  to both sides
             c > 12
Inequality Plot :
 5.4      Inequality plot for
         0.667 X  - 8.000  >  0
  
  
One solution was found :
                   c > 12