SOLUTION: Please help me solve this problem.. Solve the inequality -3x-6>14. graph the solution and write the answer in interval notation. I did -3x-6>14 added 6 from both sides -3x

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Question 1126186: Please help me solve this problem..
Solve the inequality -3x-6>14. graph the solution and write the answer in interval notation.
I did -3x-6>14
added 6 from both sides
-3x>20
divded -3 from both sides and switch sign to <
x<6.6
Found 3 solutions by josgarithmetic, greenestamps, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
Answer by greenestamps(13216) About Me  (Show Source):
You can put this solution on YOUR website!


Switching the sign from > to < was good -- that's a mistake that is easy to make.

Don't change your answer to a decimal approximation. Leave it as an exact answer as a fraction.

When you divided by -3 you should have ended up with

x < -20/3

You show

x < 20/3

I don't know if you got the wrong answer (by dividing positive by negative and getting a positive answer), or if you just left out the "-" when showing the answer you got.

Answer by ikleyn(52921) About Me  (Show Source):
You can put this solution on YOUR website!
.

            Both you and  @josgarithmetic are wrong.

            Below find the correct solution. 


    -3x - 6 > 14


Add 6 to both sides:


    -3x > 14 + 6 = 20.


Divide both sides by (-3).  You will get


    x < 20%2F%28-3%29 = -62%2F3.


Answer.  x  < -62%2F3.  The solution set is the interval  (-infinity,-62%2F3).

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    - Solving simple and simplest linear inequalities
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