SOLUTION: 4X-(6X+1)<=8X + 2(X+3)

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Question 126880: 4X-(6X+1)<=8X + 2(X+3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4x-%286x%2B1%29%3C=8x%2B2%281x%2B3%29 Start with the given inequality



4x-6x-1%3C=8x%2B2x%2B6 Distribute


-2x-1%3C=8x%2B2x%2B6 Combine like terms on the left side


-2x-1%3C=10x%2B6 Combine like terms on the right side


-2x%3C=10x%2B6%2B1Add 1 to both sides


-2x-10x%3C=6%2B1 Subtract 10x from both sides


-12x%3C=6%2B1 Combine like terms on the left side


-12x%3C=7 Combine like terms on the right side


x%3E=%287%29%2F%28-12%29 Divide both sides by -12 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)



x%3E=-7%2F12 Reduce

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Answer:
So our answer is x%3E=-7%2F12 (which is approximately x%3E=-0.583333333333333 in decimal form)