SOLUTION: Solve -6(x+5)<-x+11. write solution using set builder notation.

Algebra.Com
Question 507923: Solve -6(x+5)<-x+11. write solution using set builder notation.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given inequality.


Distribute.


Add to both sides.


Add to both sides.


Combine like terms on the left side.


Combine like terms on the right side.


Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.


Reduce.


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

Answer:

So the solution is

Answer in set-builder notation is

RELATED QUESTIONS

1.)Solve -15(4+3x)-8x=26-6(x-9) 2.) Solve and write solution using set builder... (answered by jim_thompson5910)
Solve x-2/11<-5. Write your solution using set builder notation. Please show all of your... (answered by kittycat1613)
Solve x-5(4-9x)>= 3(6x+1) Write solution using set builder notation. Show all... (answered by robertb)
Please solve and write the solution using set builder notation: x+3>-5/4 Thank you,... (answered by solver91311)
Write your solution using set builder notation... (answered by jim_thompson5910)
Solve . Write your solution using set builder notation. Please show all of your work. X+2 (answered by Alan3354)
Use the properties of inequalities to solve the following inequality. Write the solution... (answered by sofiyac)
solve using the addition principle. Graph and write set-builder notation for the answer (answered by josgarithmetic)
solve, write your solution using set builder notation... (answered by shree840)