SOLUTION: 41-(2x+4)<_2(x+1)+x Could someone please help me with this one. (The < is supposed to be above the _ I do not no how to make that happen though)

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 41-(2x+4)<_2(x+1)+x Could someone please help me with this one. (The < is supposed to be above the _ I do not no how to make that happen though)      Log On


   

Question 144136: 41-(2x+4)<_2(x+1)+x
Could someone please help me with this one. (The < is supposed to be above the _ I do not no how to make that happen though)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

41-%282x%2B4%29%3C=2%28x%2B1%29%2Bx Start with the given inequality



41-2x-4%3C=2x%2B2%2Bx Distribute


-2x%2B37%3C=2x%2B2%2Bx Combine like terms on the left side


-2x%2B37%3C=3x%2B2 Combine like terms on the right side


-2x%3C=3x%2B2-37Subtract 37 from both sides


-2x-3x%3C=2-37 Subtract 3x from both sides


-5x%3C=2-37 Combine like terms on the left side


-5x%3C=-35 Combine like terms on the right side


x%3E=%28-35%29%2F%28-5%29 Divide both sides by -5 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)



x%3E=7 Divide

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Answer:
So our answer is x%3E=7