SOLUTION: 14-5x>9x 2(3x+1)≤½(2x-5)

Algebra ->  Equations -> SOLUTION: 14-5x>9x 2(3x+1)≤½(2x-5)      Log On


   

Question 1189768: 14-5x>9x
2(3x+1)≤½(2x-5)
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Those are called inequalities.

Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
.
(1)   14 - 5x > 9x

(2)   2(3x+1) ≤ ½(2x-5)
~~~~~~~~~~~~~~ 

(1)  add 5x to both sides.  You will get then


        14 > 9x + 5x

        14 > 14x

     which is the same as

        14x < 14.


     Now divide both sides by 14.   You will get the ANSWER

         x < 1.      SOLVED.



(2)  Multiply both sides by 2


        4*(3x+1) <= 2x - 5

        12x + 4  <= 2x - 5

     
     Collect the terms with x in the left side; collect the constant terms on the right side.

     When you move the terms across the inequality sign from one side to another,
     do not forget to change the sign of these terms.

        
        12x - 2x <= -5 - 4

           10x   <=   -9


     Divide both sides by 10 .  You will get the ANSWER

             x   <= -9%2F10.

Solved.

---------------

If you want to learn on how to solve such inequalities,  look into the lesson
    - Solving simple and simplest linear inequalities
in this site.

Consider this lesson as your textbook,  handbook,  tutorials and  (free of charge)  home teacher.
Read it attentively and learn how to solve this type of problems once and for all.