Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.5" was replaced by "(15/10)". 2 more similar replacement(s)

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                (14-(5/10)*d)-((15/10))>0 

Step by step solution :

Step  1  :

            3
 Simplify   —
            2

Equation at the end of step  1  :

           5          3
  (14 -  (—— • d)) -  —  > 0 
          10          2

Step  2  :

            1
 Simplify   —
            2

Equation at the end of step  2  :

          1          3
  (14 -  (— • d)) -  —  > 0 
          2          2

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

           14     14 • 2
     14 =  ——  =  ——————
           1        2   

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 :

 3.2       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:

 14 • 2 - (d)     28 - d
 ————————————  =  ——————
      2             2   

Equation at the end of step  3  :

  (28 - d)    3
  ———————— -  —  > 0 
     2        2

Step  4  :

Adding fractions which have a common denominator :

 4.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 (28-d) - (3)     25 - d
 ————————————  =  ——————
      2             2   

Equation at the end of step  4  :

  25 - d
  ——————  > 0 
    2   

Step  5  :

 5.1    Multiply both sides by  2 

 5.2    Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

      d-25  < 0

Solve Basic Inequality :

 5.3      Add  25  to both sides

             d < 25

Inequality Plot :

 5.4      Inequality plot for

         -0.500 d  + 12.500  >  0

  
 

One solution was found :