SOLUTION: Solve {{{0.3x+5<=0.7x-8}}}

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Question 146058: Solve 0.3x%2B5%3C=0.7x-8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

0.3x%2B5%3C=0.7x-8 Start with the given inquality.


10%280.3x%2B5%29%3C=10%280.7x-8%29 Multiply both sides by 10 to clear out the decimals.


3x%2B50%3C=7x-80 Distribute and multiply.


3x%3C=7x-80-50 Subtract 50 from both sides.


3x-7x%3C=-80-50 Subtract 7x from both sides.


-4x%3C=-80-50 Combine like terms on the left side.


-4x%3C=-130 Combine like terms on the right side.


x%3E=%28-130%29%2F%28-4%29 Divide both sides by -4 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E=65%2F2 Reduce.


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Answer:

So the answer is x%3E=65%2F2


Which approximates to x%3E=32.5