Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "17.5" was replaced by "(175/10)".

Rearrange:

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

                     z/2+26-((175/10))>0 

Step by step solution :

Step  1  :

            35
 Simplify   ——
            2 

Equation at the end of step  1  :

   z           35
  (— +  26) -  ——  > 0 
   2           2 

Step  2  :

            z
 Simplify   —
            2

Equation at the end of step  2  :

   z           35
  (— +  26) -  ——  > 0 
   2           2 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

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

          26     26 • 2
    26 =  ——  =  ——————
          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:

 z + 26 • 2     z + 52
 ——————————  =  ——————
     2            2   

Equation at the end of step  3  :

  (z + 52)    35
  ———————— -  ——  > 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:

 (z+52) - (35)     z + 17
 —————————————  =  ——————
       2             2   

Equation at the end of step  4  :

  z + 17
  ——————  > 0 
    2   

Step  5  :

 5.1    Multiply both sides by  2 

Solve Basic Inequality :

 5.2      Subtract  17  from both sides

            z > -17

Inequality Plot :

 5.3      Inequality plot for

         0.500 z  + 8.500  >  0

  
 

One solution was found :