SOLUTION: Solve the following inequality and graph (or explain) the solution set. -x – 6 > -3x + 9

Algebra ->  Inequalities -> SOLUTION: Solve the following inequality and graph (or explain) the solution set. -x – 6 > -3x + 9       Log On


   

Question 198337: Solve the following inequality and graph (or explain) the solution set.
-x – 6 > -3x + 9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-x-6%3E-3x%2B9 Start with the given inequality.


-x%3E-3x%2B9%2B6 Add 6 to both sides.


-x%2B3x%3E9%2B6 Add 3x to both sides.


2x%3E9%2B6 Combine like terms on the left side.


2x%3E15 Combine like terms on the right side.


x%3E%2815%29%2F%282%29 Divide both sides by 2 to isolate x.


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Answer:

So the answer is x%3E15%2F2


Which approximates to x%3E7.5



So the answer in interval notation is


Also, the answer in set-builder notation is


Here's the graph of the solution set