SOLUTION: Can someone help me solve this inequality problem? 0.6x +3 ≤ 1.4x-8 what is the solution? {x x __ __}

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Question 460086: Can someone help me solve this inequality problem?
0.6x +3 ≤ 1.4x-8
what is the solution? {x x __ __}

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given inequality.


Multiply both sides by 10 to clear out the decimals.


Distribute and multiply.


Subtract from both sides.


Subtract from 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.


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Answer:

So the solution is


So the answer in set-builder notation is

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