SOLUTION: Solve the inequality, and express the solutions in terms of intervals whenever possible. 3/5x+1 ≥ 1/x-3

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Question 657786: Solve the inequality, and express the solutions in terms of intervals whenever possible.
3/5x+1 ≥ 1/x-3
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the inequality, and express the solutions in terms of intervals whenever possible.
3/5x+1 ≥ 1/x-3
3/5x-1/x+4≥0
LCD:5x
(3-5+20x)/5x≥0
(20x-2)/5x≥0
20(x-2/20)/5x≥0
20(x-0.1)/5x≥0
number line
<.....+.....0....-....0.1....+......>
solution: (–∞,0] U [0.1,∞)