SOLUTION: How to solve the inequality 3-4x<5+6x with the intermediate steps shown

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Question 640654: How to solve the inequality 3-4x<5+6x with the intermediate steps shown
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3-4x%3C5%2B6x Start with the given inequality.


-4x%3C5%2B6x-3 Subtract 3 from both sides.


-4x-6x%3C5-3 Subtract 6x from both sides.


-10x%3C5-3 Combine like terms on the left side.


-10x%3C2 Combine like terms on the right side.


x%3E%282%29%2F%28-10%29 Divide both sides by -10 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E-1%2F5 Reduce.


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Answer:

So the solution is x%3E-1%2F5