SOLUTION: im stuck on this problem help -6(x-4)___>7(2x-3) the middle should look like this a line at the bottom and the arrow ontop

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Question 114441This question is from textbook louisiana prentice hall mathematics algebra1
: im stuck on this problem help -6(x-4)___>7(2x-3) the middle should look like this a line at the bottom and the arrow ontopThis question is from textbook louisiana prentice hall mathematics algebra1

Answer by jim_thompson5910(28595) About Me  (Show Source):
You can put this solution on YOUR website!

-6%28x-4%29%3E=7%282x-3%29 Start with the given inequality



-6x%2B24%3E=14x-21 Distribute


-6x%3E=14x-21-24Subtract 24 from both sides


-6x-14x%3E=-21-24 Subtract 14x from both sides


-20x%3E=-21-24 Combine like terms on the left side


-20x%3E=-45 Combine like terms on the right side


x%3C=%28-45%29%2F%28-20%29 Divide both sides by -20 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)



x%3C=9%2F4 Reduce

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Answer:
So our answer is x%3C=9%2F4 (which is approximately x%3C=2.25 in decimal form)