SOLUTION: Solve 12x-25>=3x-5(x+6). This is what I have 12x-25>=3x-5x-30 12x-25+25>=-2x-30+25 12x>=-2x-5 12x+2x>=-5 14x>=-5 Am I even close? Set builder notation I have no clue?

Algebra ->  Inequalities -> SOLUTION: Solve 12x-25>=3x-5(x+6). This is what I have 12x-25>=3x-5x-30 12x-25+25>=-2x-30+25 12x>=-2x-5 12x+2x>=-5 14x>=-5 Am I even close? Set builder notation I have no clue?      Log On


   

Question 549487: Solve 12x-25>=3x-5(x+6). This is what I have
12x-25>=3x-5x-30
12x-25+25>=-2x-30+25
12x>=-2x-5
12x+2x>=-5
14x>=-5
Am I even close? Set builder notation I have no clue?
Found 2 solutions by mananth, lwsshak3:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x>= -5/14
{x|x>=-5/14}

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve 12x-25>=3x-5(x+6).
**
12x-25≥3x-5(x+6)
12x-25≥3x-5x-30
14x≥-5
x≥-5/14
Interval notation:
[-5/14,∞)
Set builder notation:
{x|x≥-5/14}