Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.5" was replaced by "(25/10)". 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 :

                     s-(15/10)-((25/10))<0 

Step by step solution :

Step  1  :

            5
 Simplify   —
            2

Equation at the end of step  1  :

        15     5
  (s -  ——) -  —  < 0 
        10     2

Step  2  :

            3
 Simplify   —
            2

Equation at the end of step  2  :

        3     5
  (s -  —) -  —  < 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 :

          s     s • 2
     s =  —  =  —————
          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:

 s • 2 - (3)     2s - 3
 ———————————  =  ——————
      2            2   

Equation at the end of step  3  :

  (2s - 3)    5
  ———————— -  —  < 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:

 (2s-3) - (5)     2s - 8
 ————————————  =  ——————
      2             2   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   2s - 8  =   2 • (s - 4) 

Equation at the end of step  5  :

  s - 4  < 0 

Step  6  :

Solve Basic Inequality :

 6.1      Add  4  to both sides

             s < 4

Inequality Plot :

 6.2      Inequality plot for

         s  - 4.000  <  0

  
 

One solution was found :