SOLUTION: 4x-3<6(2x+1) Algebraic solution ?

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Question 665224: 4x-3<6(2x+1)
Algebraic solution ?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4x-3%3C6%282x%2B1%29 Start with the given inequality.


4x-3%3C12x%2B6 Distribute.


4x%3C12x%2B6%2B3 Add 3 to both sides.


4x-12x%3C6%2B3 Subtract 12x from both sides.


-8x%3C6%2B3 Combine like terms on the left side.


-8x%3C9 Combine like terms on the right side.


x%3E%289%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-9%2F8 Reduce.


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Answer:

So the solution is x%3E-9%2F8