Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.3" was replaced by "(3/10)". 2 more similar replacement(s)

Rearrange:

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

                     (61/10)-(3/10)-(c+1)≥0 

Step by step solution :

Step  1  :

             3
 Simplify   ——
            10

Equation at the end of step  1  :

   61     3     
  (—— -  ——) -  (c + 1)  ≥ 0 
   10    10     

Step  2  :

            61
 Simplify   ——
            10

Equation at the end of step  2  :

   61     3     
  (—— -  ——) -  (c + 1)  ≥ 0 
   10    10     

Step  3  :

Adding fractions which have a common denominator :

 3.1       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:

 61 - (3)     29
 ————————  =  ——
    10        5 

Equation at the end of step  3  :

  29    
  —— -  (c + 1)  ≥ 0 
  5     

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a whole from a fraction

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

             c + 1     (c + 1) • 5
    c + 1 =  —————  =  ———————————
               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 :

 4.2       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:

 29 - ((c+1) • 5)     24 - 5c
 ————————————————  =  ———————
        5                5   

Equation at the end of step  4  :

  24 - 5c
  ———————  ≥ 0 
     5   

Step  5  :

 5.1    Multiply both sides by  5 

 5.2    Multiply both sides by (-1)

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

      5c-24  ≤ 0

 5.3    Divide both sides by  5  

      c-(24/5)  ≤ 0

Solve Basic Inequality :

 5.4      Add  24/5  to both sides

             c ≤ 24/5

Inequality Plot :

 5.5      Inequality plot for

         -c  + 4.800  ≥  0

  
 

One solution was found :