SOLUTION: Solve for x: 9-x>2x+3. thank-you.

Algebra ->  Inequalities -> SOLUTION: Solve for x: 9-x>2x+3. thank-you.      Log On


   

Question 202030: Solve for x: 9-x>2x+3. thank-you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

9-x%3E2x%2B3 Start with the given inequality.


-x%3E2x%2B3-9 Subtract 9 from both sides.


-x-2x%3E3-9 Subtract 2x from both sides.


-3x%3E3-9 Combine like terms on the left side.


-3x%3E-6 Combine like terms on the right side.


x%3C%28-6%29%2F%28-3%29 Divide both sides by -3 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C2 Reduce.


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Answer:

So the solution is x%3C2