Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.2" was replaced by "(12/10)". 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 :

                     x-(46/10)-(-(12/10))<0 

Step by step solution :

Step  1  :

            6
 Simplify   —
            5

Equation at the end of step  1  :

        46           6
  (x -  ——) -  (0 -  —)  < 0 
        10           5

Step  2  :

            23
 Simplify   ——
            5 

Equation at the end of step  2  :

        23     -6
  (x -  ——) -  ——  < 0 
        5      5 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

          x     x • 5
     x =  —  =  —————
          1       5  

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:

 x • 5 - (23)     5x - 23
 ————————————  =  ———————
      5              5   

Equation at the end of step  3  :

  (5x - 23)    -6
  ————————— -  ——  < 0 
      5        5 

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:

 (5x-23) - (-6)     5x - 17
 ——————————————  =  ———————
       5               5   

Equation at the end of step  4  :

  5x - 17
  ———————  < 0 
     5   

Step  5  :

 5.1    Multiply both sides by  5 

 5.2    Divide both sides by  5  

      x-(17/5)  < 0

Solve Basic Inequality :

 5.3      Add  17/5  to both sides

             x < 17/5

Inequality Plot :

 5.4      Inequality plot for

         x  - 3.400  <  0

  
 

One solution was found :