write solution using set builder notation. 12x-25 is greater than or equal to 3x-5(x+6)

This is how I solved the equation, but I don't understand using set builder notation

 

12x-25_>3x-5x+30
12x-25_>-2x+30
12x+2x-25_>-2x+2x+30
14x-25_>30
14x-25+25_>30+25
14x_>55
14/14x_>55/14
x_>55/14
in Algebra 1 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

I appreciate for having shown your work.

3x-5(x+6)=3x-5x-30

12x-25_>3x-5x-30
12x-25_>-2x-30
12x+2x-25_>-2x+2x-30
14x-25_>30
14x-25+25_>-30+25
14x_>-5
14/14x_>=-5/14
x_>-5/14

The solution in set builder notation

is {xIx_>-5/14}

 

by Level 8 User (32.3k points)

Related questions

2 answers
set builder notation of greater than -9 less than 8
asked Aug 17, 2014 in Pre-Algebra Answers by kimberly gonzalo | 893 views
1 answer
how to write -6-x<3 in set-builder notation
asked Jun 5, 2013 in Algebra 2 Answers by anonymous | 723 views
1 answer
Represent each by using set builder notation
asked Jun 23, 2013 in Algebra 1 Answers by anonymous | 786 views
1 answer
{-3, -1, 1, 3, 5} write in set builder notation
asked May 10, 2013 in Geometry Answers by anonymous | 2.1k views
3 answers
how to solveand write in set builder notation
asked Jan 17, 2012 in Pre-Algebra Answers by Cb009 Level 3 User (2.2k points) | 2.2k views
4 answers
solve and write in set builder notation
asked Jan 16, 2012 in Pre-Algebra Answers by Cb009 Level 3 User (2.2k points) | 5.2k views
1 answer
A={2,4,6,8,10} express in set builder notation?
asked Jun 24, 2013 in Algebra 1 Answers by anonymous | 1.4k views
1 answer
A={2,4,6,8,10} express in set builder notation
asked Jun 24, 2013 in Algebra 1 Answers by anonymous | 4.4k views
0 answers
{1,2,3,4,6,12} in set-builder notation
asked Nov 8, 2012 in Algebra 1 Answers by anonymous | 3.0k views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12÷4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

87,516 questions
100,285 answers
2,420 comments
734,192 users