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

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!

-







--
AMP Parsing Error of []: Invalid expression '': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203. .

AMP Parsing Error of []: Invalid expression '': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203. .

AMP Parsing Error of []: Invalid expression '': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203. .

AMP Parsing Error of []: Invalid expression '': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203. .


( , )

Answer by greenestamps(13216)   (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)   (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 <  = -.


Answer.  x  < -.  The solution set is the interval  (,).

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

See the lesson
    - Solving simple and simplest linear inequalities
in this site.


RELATED QUESTIONS

I need help with this problem please, Solve the inequality, giving its solution set in... (answered by stanbon)
Solve the following inequality . Graph the solution set and write it in interval notation (answered by Edwin McCravy)
Solve the linear inequality and graph the solution then give the answer in interval... (answered by lwsshak3)
Please help me: Solve the following inequality. Graph the solution set and write it in (answered by Alan3354)
Please help me: Solve the following inequality. Graph the solution set and write it in (answered by Alan3354)
-6x > -24 and x + 6 > 5 solve the inequality and graph the solution set and write in... (answered by ewatrrr)
solve the inequality and write the solution in interval notation 3/x-5<0 please... (answered by MathLover1,MathTherapy)
hi need help on this homework guys! thanks! solve the inequality. graph the solution... (answered by Mathtut)
Solve each inequality. Graph the solution set and write the answer using interval... (answered by josgarithmetic)