SOLUTION: 0.6x+14+x>2x+19-0.5

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Question 402860: 0.6x+14+x>2x+19-0.5
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

0.6x%2B14%2Bx%3E2x%2B19-0.5 Start with the given inequality.


10%280.6x%2B14%2Bx%29%3E10%282x%2B19-0.5%29 Multiply both sides by 10 to clear out the decimals.


6x%2B140%2B10x%3E20x%2B190-5 Distribute and multiply.


16x%2B140%3E20x%2B190-5 Combine like terms on the left side.


16x%2B140%3E20x%2B185 Combine like terms on the right side.


16x%3E20x%2B185-140 Subtract 140 from both sides.


16x-20x%3E185-140 Subtract 20x from both sides.


-4x%3E185-140 Combine like terms on the left side.


-4x%3E45 Combine like terms on the right side.


x%3C%2845%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%3C-45%2F4 Reduce.


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Answer:

So the answer is x%3C-45%2F4


Which in decimal form is x%3C-11.25

Answer by MathLover1(20849) About Me  (Show Source):