Solution - Linear inequalities

Rearrange:

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

                     x/4-(11)<0 

Step by step solution :

Step  1  :

            x
 Simplify   —
            4

Equation at the end of step  1  :

  x    
  — -  11  < 0 
  4    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

          11     11 • 4
    11 =  ——  =  ——————
          1        4   

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 :

 2.2       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 - (11 • 4)     x - 44
 ————————————  =  ——————
      4             4   

Equation at the end of step  2  :

  x - 44
  ——————  < 0 
    4   

Step  3  :

 3.1    Multiply both sides by  4 

Solve Basic Inequality :

 3.2      Add  44  to both sides

             x < 44

Inequality Plot :

 3.3      Inequality plot for

         0.250 x  - 11.000  <  0

  
 

One solution was found :