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) About Me  (Show Source):
You can put this solution on YOUR website!

0.6x%2B3%3C=1.4x-8 Start with the given inequality.


10%280.6x%2B3%29%3C=10%281.4x-8%29 Multiply both sides by 10 to clear out the decimals.


6x%2B30%3C=14x-80 Distribute and multiply.


6x%3C=14x-80-30 Subtract 30 from both sides.


6x-14x%3C=-80-30 Subtract 14x from both sides.


-8x%3C=-80-30 Combine like terms on the left side.


-8x%3C=-110 Combine like terms on the right side.


x%3E=%28-110%29%2F%28-8%29 Divide both sides by -8 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E=55%2F4 Reduce.


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Answer:

So the solution is x%3E=55%2F4


So the answer in set-builder notation is