Question

Solve the following inequality for m. Write your answer in simplest form. - 7 + 5(9m – 7) < 9m - 2 - 9 m < - 2 Submit Answer atte​

Answer 1

Answer:

m < $\frac{36}{31}$

Rearrange:

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

               -7+5*(9*m-7)-(9*m-2-9)<0  

Step by step solution :

STEP  1

:

Equation at the end of step 1

 (-7 +  5 • (9m - 7)) -  (9m - 11)  < 0  

STEP  2

:

Equation at the end of step 2

 36m - 31  < 0  

STEP  3:

3.1    Divide both sides by  36  

     m-(31/36)  < 0

Solve Basic Inequality :

3.2      Add  31/36  to both sides

            m < $\frac{31}{36}$