2x+3 is less than 6x+7 /3

Question

2x+3>6x+7 /3

 

6x+7 is over the 3

 

please help!

Answer 1

Alexis,

 

You have a contradiction in the way you wrote your problem twice in that the < gets flipped to >.  I'll solve both and you pick the correct one.

 

(1)  (2x + 3) < (6x + 7/3)

   (2x + 9/3) < (6x + 7/3),  now just move constants to the left side and the x terms to the right side

   (9/3 - 7/3) < (6x - 2x)  , combine. simplify and solve the inequality

         2/3      <      4x

         1/6      <        x   ,  or all x > 1/6  is the solution here

 

(2)   (2x + 3) > (6x + 7/3)
    (2x + 9/3) > (6x + 7/3), now just move constants to the left side and the x terms to the right side
    (9/3 - 7/3) > (6x - 2x) , combine. simplify and solve the inequality
               2/3 > 4x
               1/6 > x , or all x < 1/6 is the solution here