Question

Solve the inequality 4/3 < -8/3y

Answer 1

Answer:

y < -1/2

Step-by-step explanation:

Step  1  :

           8

Simplify   —

           3

Equation at the end of step  1  :

 4           8

 — -  (0 -  (— • y))  < 0

 3           3

Step  2  :

           4

Simplify   —

           3

Equation at the end of step  2  :

 4    -8y

 — -  ———  < 0

 3     3

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:

4 - (-8y)     8y + 4

—————————  =  ——————

    3           3  

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  8y + 4  =   4 • (2y + 1)

Equation at the end of step  4  :

 4 • (2y + 1)

 ————————————  < 0

      3      

Step  5  :

5.1    Multiply both sides by  3

5.2    Divide both sides by  4

5.3    Divide both sides by  2  

     y+(1/2)  < 0

Solve Basic Inequality :

5.4      Subtract  1/2  from both sides

           y < -1/2

Inequality Plot :

5.5      Inequality plot for

        2.667 X  + 1.333  <  0

 

One solution was found :

                  y < -1/2

Processing ends successfully

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