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 :

                     (65/10)-4*t-((15/10))>0 

Step by step solution :

Step  1  :

            3
 Simplify   —
            2

Equation at the end of step  1  :

   65           3
  (—— -  4t) -  —  > 0 
   10           2

Step  2  :

            13
 Simplify   ——
            2 

Equation at the end of step  2  :

   13           3
  (—— -  4t) -  —  > 0 
   2            2

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

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

          4t     4t • 2
    4t =  ——  =  ——————
          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:

 13 - (4t • 2)     13 - 8t
 —————————————  =  ———————
       2              2   

Equation at the end of step  3  :

  (13 - 8t)    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:

 (13-8t) - (3)     10 - 8t
 —————————————  =  ———————
       2              2   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   10 - 8t  =   -2 • (4t - 5) 

Equation at the end of step  5  :

  5 - 4t  > 0 

Step  6  :

 6.1    Multiply both sides by (-1)

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

      4t-5  < 0

 6.2    Divide both sides by  4  

      t-(5/4)  < 0

Solve Basic Inequality :

 6.3      Add  5/4  to both sides

             t < 5/4

Inequality Plot :

 6.4      Inequality plot for

         -4.000 t  + 5.000  >  0

  
 

One solution was found :